413399700 has 360 divisors, whose sum is σ = 1603147392. Its totient is φ = 90097920.

The previous prime is 413399699. The next prime is 413399711. The reversal of 413399700 is 7993314.

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 119 ways as a sum of consecutive naturals, for example, 1303942 + ... + 1304258.

Almost surely, 2^413399700 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 413399700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801573696).

413399700 is an abundant number, since it is smaller than the sum of its proper divisors (1189747692).

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

413399700 is a wasteful number, since it uses less digits than its factorization.

413399700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 413399700 is about 20332.2330303388. The cubic root of 413399700 is about 744.9435868579.

The spelling of 413399700 in words is "four hundred thirteen million, three hundred ninety-nine thousand, seven hundred".