406862352 has 400 divisors, whose sum is σ = 1411576320. Its totient is φ = 111974400.

The previous prime is 406862347. The next prime is 406862359. The reversal of 406862352 is 253268604.

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

It is not an unprimeable number, because it can be changed into a prime (406862359) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9923452 + ... + 9923492.

Almost surely, 2^406862352 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 406862352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705788160).

406862352 is an abundant number, since it is smaller than the sum of its proper divisors (1004713968).

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

406862352 is a wasteful number, since it uses less digits than its factorization.

406862352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 406862352 is about 20170.8292343176. The cubic root of 406862352 is about 740.9959513949.

The spelling of 406862352 in words is "four hundred six million, eight hundred sixty-two thousand, three hundred fifty-two".