406484352 has 64 divisors (see below), whose sum is σ = 1199703600. Its totient is φ = 135493632.

The previous prime is 406484339. The next prime is 406484357. The reversal of 406484352 is 253484604.

406484352 is a `hidden beast` number, since 4 + 0 + 648 + 4 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406484357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55353 + ... + 62264.

Almost surely, 2^406484352 is an apocalyptic number.

It is an amenable number.

406484352 is an abundant number, since it is smaller than the sum of its proper divisors (793219248).

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

406484352 is a wasteful number, since it uses less digits than its factorization.

406484352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117640 (or 117622 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 406484352 is about 20161.4570902006. The cubic root of 406484352 is about 740.7664034447.

The spelling of 406484352 in words is "four hundred six million, four hundred eighty-four thousand, three hundred fifty-two".