416096640 has 384 divisors, whose sum is σ = 1546646400. Its totient is φ = 102875136.

The previous prime is 416096633. The next prime is 416096647. The reversal of 416096640 is 46690614.

416096640 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 9 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (416096633) and next prime (416096647).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 416096595 and 416096604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416096647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7850854 + ... + 7850906.

It is an arithmetic number, because the mean of its divisors is an integer number (4027725).

Almost surely, 2^416096640 is an apocalyptic number.

416096640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773323200).

416096640 is an abundant number, since it is smaller than the sum of its proper divisors (1130549760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416096640 is a wasteful number, since it uses less digits than its factorization.

416096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 416096640 is about 20398.4469997105. The cubic root of 416096640 is about 746.5600329580.

The spelling of 416096640 in words is "four hundred sixteen million, ninety-six thousand, six hundred forty".