364264956 has 72 divisors (see below), whose sum is σ = 1012537344. Its totient is φ = 109499040.

The previous prime is 364264939. The next prime is 364264981. The reversal of 364264956 is 659462463.

364264956 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

364264956 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46671 + ... + 53913.

Almost surely, 2^364264956 is an apocalyptic number.

364264956 is a gapful number since it is divisible by the number (36) 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 364264956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506268672).

364264956 is an abundant number, since it is smaller than the sum of its proper divisors (648272388).

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

364264956 is a wasteful number, since it uses less digits than its factorization.

364264956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7391 (or 7386 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 364264956 is about 19085.7264991407. The cubic root of 364264956 is about 714.1768975338.

The spelling of 364264956 in words is "three hundred sixty-four million, two hundred sixty-four thousand, nine hundred fifty-six".