412478976 has 240 divisors, whose sum is σ = 1365876864. Its totient is φ = 108306432.

The previous prime is 412478917. The next prime is 412478993. The reversal of 412478976 is 679874214.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (677376) is a multiple of the sum of its prime divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1816975 + ... + 1817201.

Almost surely, 2^412478976 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 412478976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682938432).

412478976 is an abundant number, since it is smaller than the sum of its proper divisors (953397888).

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

412478976 is a wasteful number, since it uses less digits than its factorization.

412478976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 252 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 412478976 is about 20309.5784298936. The cubic root of 412478976 is about 744.3901295356.

The spelling of 412478976 in words is "four hundred twelve million, four hundred seventy-eight thousand, nine hundred seventy-six".