415059372 has 288 divisors, whose sum is σ = 1375023104. Its totient is φ = 102643200.

The previous prime is 415059371. The next prime is 415059383. The reversal of 415059372 is 273950514.

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 (415059371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6194883 + ... + 6194949.

Almost surely, 2^415059372 is an apocalyptic number.

415059372 is a gapful number since it is divisible by the number (42) 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 415059372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687511552).

415059372 is an abundant number, since it is smaller than the sum of its proper divisors (959963732).

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

415059372 is a wasteful number, since it uses less digits than its factorization.

415059372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 415059372 is about 20373.0059637747. The cubic root of 415059372 is about 745.9391618071.

The spelling of 415059372 in words is "four hundred fifteen million, fifty-nine thousand, three hundred seventy-two".