364020480 has 180 divisors, whose sum is σ = 1302902832. Its totient is φ = 97044480.

The previous prime is 364020469. The next prime is 364020493. The reversal of 364020480 is 84020463.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101925 + ... + 105435.

Almost surely, 2^364020480 is an apocalyptic number.

364020480 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 364020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651451416).

364020480 is an abundant number, since it is smaller than the sum of its proper divisors (938882352).

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

364020480 is an equidigital number, since it uses as much as digits as its factorization.

364020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 364020480 is about 19079.3207426260. The cubic root of 364020480 is about 714.0170887796.

The spelling of 364020480 in words is "three hundred sixty-four million, twenty thousand, four hundred eighty".