396099072 has 100 divisors (see below), whose sum is σ = 1182375216. Its totient is φ = 132019200.

The previous prime is 396099071. The next prime is 396099079. The reversal of 396099072 is 270990693.

396099072 is a `hidden beast` number, since 39 + 609 + 9 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×396099072² = 313788949678522368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396099071) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 36697 + ... + 46247.

Almost surely, 2^396099072 is an apocalyptic number.

396099072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591187608).

396099072 is an abundant number, since it is smaller than the sum of its proper divisors (786276144).

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

396099072 is an frugal number, since it uses more digits than its factorization.

396099072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9581 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 396099072 is about 19902.2378641197. The cubic root of 396099072 is about 734.4032807748.

The spelling of 396099072 in words is "three hundred ninety-six million, ninety-nine thousand, seventy-two".