406381572 has 72 divisors (see below), whose sum is σ = 1077882624. Its totient is φ = 128848896.

The previous prime is 406381559. The next prime is 406381579. The reversal of 406381572 is 275183604.

406381572 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 81 + 572 = 666.

It is a super-2 number, since 2×406381572² = 330291964122382368, which contains 22 as substring.

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 (406381579) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158533 + ... + 161075.

It is an arithmetic number, because the mean of its divisors is an integer number (14970592).

Almost surely, 2^406381572 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 406381572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538941312).

406381572 is an abundant number, since it is smaller than the sum of its proper divisors (671501052).

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

406381572 is a wasteful number, since it uses less digits than its factorization.

406381572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 406381572 is about 20158.9080061396. The cubic root of 406381572 is about 740.7039636579.

The spelling of 406381572 in words is "four hundred six million, three hundred eighty-one thousand, five hundred seventy-two".