408969972 has 72 divisors (see below), whose sum is σ = 1080841216. Its totient is φ = 135209088.

The previous prime is 408969961. The next prime is 408969989. The reversal of 408969972 is 279969804.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121788 + ... + 125100.

Almost surely, 2^408969972 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 408969972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540420608).

408969972 is an abundant number, since it is smaller than the sum of its proper divisors (671871244).

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

408969972 is a wasteful number, since it uses less digits than its factorization.

408969972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 408969972 is about 20223.0060080098. The cubic root of 408969972 is about 742.2732457258.

The spelling of 408969972 in words is "four hundred eight million, nine hundred sixty-nine thousand, nine hundred seventy-two".