362444964 has 144 divisors (see below), whose sum is σ = 1054892160. Its totient is φ = 96230400.

The previous prime is 362444959. The next prime is 362444977. The reversal of 362444964 is 469444263.

It is a happy number.

It is a super-2 number, since 2×362444964² = 262732703857922592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1009417 + ... + 1009775.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^362444964 is an apocalyptic number.

362444964 is a gapful number since it is divisible by the number (34) 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 362444964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527446080).

362444964 is an abundant number, since it is smaller than the sum of its proper divisors (692447196).

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

362444964 is a wasteful number, since it uses less digits than its factorization.

362444964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 489 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 362444964 is about 19037.9873936296. The cubic root of 362444964 is about 712.9854872802.

The spelling of 362444964 in words is "three hundred sixty-two million, four hundred forty-four thousand, nine hundred sixty-four".