415152432 has 160 divisors (see below), whose sum is σ = 1289203200. Its totient is φ = 127464192.

The previous prime is 415152421. The next prime is 415152473. The reversal of 415152432 is 234251514.

415152432 is a `hidden beast` number, since 415 + 1 + 5 + 243 + 2 = 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 = 415152396 and 415152405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303013 + ... + 304379.

It is an arithmetic number, because the mean of its divisors is an integer number (8057520).

Almost surely, 2^415152432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415152432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644601600).

415152432 is an abundant number, since it is smaller than the sum of its proper divisors (874050768).

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

415152432 is a wasteful number, since it uses less digits than its factorization.

415152432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1428 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 415152432 is about 20375.2897402712. The cubic root of 415152432 is about 745.9949063710.

It can be divided in two parts, 415152 and 432, that multiplied together give a square (179345664 = 13392²).

The spelling of 415152432 in words is "four hundred fifteen million, one hundred fifty-two thousand, four hundred thirty-two".