362988040 has 16 divisors (see below), whose sum is σ = 816723180. Its totient is φ = 145195200.

The previous prime is 362988023. The next prime is 362988053. The reversal of 362988040 is 40889263.

It can be written as a sum of positive squares in 2 ways, for example, as 344993476 + 17994564 = 18574^2 + 4242^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 9074701 = 362988040 / (3 + 6 + 2 + 9 + 8 + 8 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 362987984 and 362988002.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4537311 + ... + 4537390.

Almost surely, 2^362988040 is an apocalyptic number.

It is an amenable number.

362988040 is an abundant number, since it is smaller than the sum of its proper divisors (453735140).

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

362988040 is a wasteful number, since it uses less digits than its factorization.

362988040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9074712 (or 9074708 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 362988040 is about 19052.2450120714. The cubic root of 362988040 is about 713.3414144910.

The spelling of 362988040 in words is "three hundred sixty-two million, nine hundred eighty-eight thousand, forty".