362813472 has 192 divisors, whose sum is σ = 1219276800. Its totient is φ = 102816000.

The previous prime is 362813471. The next prime is 362813557. The reversal of 362813472 is 274318263.

It is a happy number.

362813472 is a `hidden beast` number, since 36 + 281 + 347 + 2 = 666.

362813472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (362813471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445347 + ... + 1445597.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2^362813472 is an apocalyptic number.

362813472 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 362813472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609638400).

362813472 is an abundant number, since it is smaller than the sum of its proper divisors (856463328).

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

362813472 is a wasteful number, since it uses less digits than its factorization.

362813472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 502 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 362813472 is about 19047.6631637584. The cubic root of 362813472 is about 713.2270429066.

The spelling of 362813472 in words is "three hundred sixty-two million, eight hundred thirteen thousand, four hundred seventy-two".