464117040 has 200 divisors, whose sum is σ = 1637536560. Its totient is φ = 121803264.

The previous prime is 464117033. The next prime is 464117053. The reversal of 464117040 is 40711464.

464117040 is a `hidden beast` number, since 4 + 641 + 17 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 464116995 and 464117013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 433626 + ... + 434694.

Almost surely, 2^464117040 is an apocalyptic number.

464117040 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 464117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818768280).

464117040 is an abundant number, since it is smaller than the sum of its proper divisors (1173419520).

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

464117040 is a wasteful number, since it uses less digits than its factorization.

464117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 464117040 is about 21543.3757800397. The cubic root of 464117040 is about 774.2404156708.

The spelling of 464117040 in words is "four hundred sixty-four million, one hundred seventeen thousand, forty".