464880040 has 16 divisors (see below), whose sum is σ = 1045980180. Its totient is φ = 185952000.

The previous prime is 464880037. The next prime is 464880047. The reversal of 464880040 is 40088464.

It can be written as a sum of positive squares in 2 ways, for example, as 436726404 + 28153636 = 20898^2 + 5306^2 .

It is a super-2 number, since 2×464880040² = 432226903180803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464879978 and 464880005.

It is not an unprimeable number, because it can be changed into a prime (464880047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5810961 + ... + 5811040.

Almost surely, 2^464880040 is an apocalyptic number.

464880040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464880040 is an abundant number, since it is smaller than the sum of its proper divisors (581100140).

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

464880040 is a wasteful number, since it uses less digits than its factorization.

464880040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11622012 (or 11622008 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 464880040 is about 21561.0769675357. The cubic root of 464880040 is about 774.6644624497.

The spelling of 464880040 in words is "four hundred sixty-four million, eight hundred eighty thousand, forty".