415952064 has 224 divisors, whose sum is σ = 1355750400. Its totient is φ = 124001280.

The previous prime is 415952063. The next prime is 415952083. The reversal of 415952064 is 460259514.

415952064 is a `hidden beast` number, since 4 + 1 + 595 + 2 + 0 + 64 = 666.

It is a super-2 number, since 2×415952064² = 346032239091720192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (415952063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1501494 + ... + 1501770.

Almost surely, 2^415952064 is an apocalyptic number.

415952064 is a gapful number since it is divisible by the number (44) 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 415952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677875200).

415952064 is an abundant number, since it is smaller than the sum of its proper divisors (939798336).

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

415952064 is a wasteful number, since it uses less digits than its factorization.

415952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 415952064 is about 20394.9028926347. The cubic root of 415952064 is about 746.4735569199.

The spelling of 415952064 in words is "four hundred fifteen million, nine hundred fifty-two thousand, sixty-four".