415272960 has 208 divisors, whose sum is σ = 1478311680. Its totient is φ = 110592000.

The previous prime is 415272947. The next prime is 415272961. The reversal of 415272960 is 69272514.

415272960 is a `hidden beast` number, since 41 + 527 + 2 + 96 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415272961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552585 + ... + 553335.

Almost surely, 2^415272960 is an apocalyptic number.

415272960 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 415272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739155840).

415272960 is an abundant number, since it is smaller than the sum of its proper divisors (1063038720).

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

415272960 is an equidigital number, since it uses as much as digits as its factorization.

415272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 415272960 is about 20378.2472259024. The cubic root of 415272960 is about 746.0670923661.

The spelling of 415272960 in words is "four hundred fifteen million, two hundred seventy-two thousand, nine hundred sixty".