464696040 has 64 divisors (see below), whose sum is σ = 1398346560. Its totient is φ = 123540480.

The previous prime is 464696039. The next prime is 464696059. The reversal of 464696040 is 40696464.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 464696040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34695 + ... + 46185.

It is an arithmetic number, because the mean of its divisors is an integer number (21849165).

Almost surely, 2^464696040 is an apocalyptic number.

464696040 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 464696040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699173280).

464696040 is an abundant number, since it is smaller than the sum of its proper divisors (933650520).

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

464696040 is a wasteful number, since it uses less digits than its factorization.

464696040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11842 (or 11838 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 464696040 is about 21556.8095969696. The cubic root of 464696040 is about 774.5622446311.

The spelling of 464696040 in words is "four hundred sixty-four million, six hundred ninety-six thousand, forty".