413624820 has 96 divisors (see below), whose sum is σ = 1331156736. Its totient is φ = 94003200.

The previous prime is 413624819. The next prime is 413624831. The reversal of 413624820 is 28426314.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 73300 + ... + 78740.

It is an arithmetic number, because the mean of its divisors is an integer number (13866216).

Almost surely, 2^413624820 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 413624820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665578368).

413624820 is an abundant number, since it is smaller than the sum of its proper divisors (917531916).

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

413624820 is a wasteful number, since it uses less digits than its factorization.

413624820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5641 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 413624820 is about 20337.7683141489. The cubic root of 413624820 is about 745.0787839149.

The spelling of 413624820 in words is "four hundred thirteen million, six hundred twenty-four thousand, eight hundred twenty".