46759680 has 360 divisors, whose sum is σ = 186976944. Its totient is φ = 11059200.

The previous prime is 46759649. The next prime is 46759681. The reversal of 46759680 is 8695764.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46759681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1140460 + ... + 1140500.

Almost surely, 2^46759680 is an apocalyptic number.

46759680 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 46759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93488472).

46759680 is an abundant number, since it is smaller than the sum of its proper divisors (140217264).

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

46759680 is a wasteful number, since it uses less digits than its factorization.

46759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 46759680 is about 6838.1050006562. The cubic root of 46759680 is about 360.2664693793.

The spelling of 46759680 in words is "forty-six million, seven hundred fifty-nine thousand, six hundred eighty".