364961520 has 480 divisors, whose sum is σ = 1587755520. Its totient is φ = 72898560.

The previous prime is 364961507. The next prime is 364961521. The reversal of 364961520 is 25169463.

It is a happy number.

364961520 is a `hidden beast` number, since 3 + 649 + 6 + 1 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×364961520² = 266393822161420800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364961521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1607647 + ... + 1607873.

It is an arithmetic number, because the mean of its divisors is an integer number (3307824).

Almost surely, 2^364961520 is an apocalyptic number.

364961520 is a gapful number since it is divisible by the number (30) 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 364961520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

364961520 is an abundant number, since it is smaller than the sum of its proper divisors (1222794000).

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

364961520 is a wasteful number, since it uses less digits than its factorization.

364961520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 364961520 is about 19103.9660803719. The cubic root of 364961520 is about 714.6318348442.

The spelling of 364961520 in words is "three hundred sixty-four million, nine hundred sixty-one thousand, five hundred twenty".