364420992 has 128 divisors (see below), whose sum is σ = 1071171360. Its totient is φ = 109043712.

The previous prime is 364420967. The next prime is 364420999. The reversal of 364420992 is 299024463.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 364420992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364420999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183718 + ... + 185690.

Almost surely, 2^364420992 is an apocalyptic number.

364420992 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 364420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535585680).

364420992 is an abundant number, since it is smaller than the sum of its proper divisors (706750368).

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

364420992 is a wasteful number, since it uses less digits than its factorization.

364420992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 364420992 is about 19089.8138283222. The cubic root of 364420992 is about 714.2788575647.

The spelling of 364420992 in words is "three hundred sixty-four million, four hundred twenty thousand, nine hundred ninety-two".