413256000 has 224 divisors, whose sum is σ = 1390326912. Its totient is φ = 108134400.

The previous prime is 413255989. The next prime is 413256013. The reversal of 413256000 is 652314.

It is a happy number.

It is a congruent number.

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, 1607872 + ... + 1608128.

Almost surely, 2^413256000 is an apocalyptic number.

413256000 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 413256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695163456).

413256000 is an abundant number, since it is smaller than the sum of its proper divisors (977070912).

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

413256000 is a wasteful number, since it uses less digits than its factorization.

413256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 413256000 is about 20328.6989254108. The cubic root of 413256000 is about 744.8572613644.

The spelling of 413256000 in words is "four hundred thirteen million, two hundred fifty-six thousand".