413079552 has 144 divisors (see below), whose sum is σ = 1213332120. Its totient is φ = 135364608.

The previous prime is 413079547. The next prime is 413079571. The reversal of 413079552 is 255970314.

413079552 is a `hidden beast` number, since 4 + 1 + 30 + 79 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 1345383 + ... + 1345689.

Almost surely, 2^413079552 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 413079552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606666060).

413079552 is an abundant number, since it is smaller than the sum of its proper divisors (800252568).

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

413079552 is a wasteful number, since it uses less digits than its factorization.

413079552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 413079552 is about 20324.3585876652. The cubic root of 413079552 is about 744.7512356532.

The spelling of 413079552 in words is "four hundred thirteen million, seventy-nine thousand, five hundred fifty-two".