464114640 has 320 divisors, whose sum is σ = 1666179072. Its totient is φ = 105830400.

The previous prime is 464114633. The next prime is 464114641. The reversal of 464114640 is 46411464.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 464114598 and 464114607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464114641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4337467 + ... + 4337573.

Almost surely, 2^464114640 is an apocalyptic number.

464114640 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 464114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833089536).

464114640 is an abundant number, since it is smaller than the sum of its proper divisors (1202064432).

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

464114640 is a wasteful number, since it uses less digits than its factorization.

464114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 464114640 is about 21543.3200783909. The cubic root of 464114640 is about 774.2390811079.

The spelling of 464114640 in words is "four hundred sixty-four million, one hundred fourteen thousand, six hundred forty".