412630848 has 280 divisors, whose sum is σ = 1425074112. Its totient is φ = 115623936.

The previous prime is 412630831. The next prime is 412630891. The reversal of 412630848 is 848036214.

412630848 is a `hidden beast` number, since 4 + 12 + 630 + 8 + 4 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3011836 + ... + 3011972.

Almost surely, 2^412630848 is an apocalyptic number.

412630848 is a gapful number since it is divisible by the number (48) 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 412630848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712537056).

412630848 is an abundant number, since it is smaller than the sum of its proper divisors (1012443264).

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

412630848 is a wasteful number, since it uses less digits than its factorization.

412630848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 412630848 is about 20313.3170112614. The cubic root of 412630848 is about 744.4814781474.

The spelling of 412630848 in words is "four hundred twelve million, six hundred thirty thousand, eight hundred forty-eight".