364740480 has 192 divisors, whose sum is σ = 1356657120. Its totient is φ = 89763840.

The previous prime is 364740449. The next prime is 364740553. The reversal of 364740480 is 84047463.

364740480 is a `hidden beast` number, since 3 + 647 + 4 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72445 + ... + 77315.

Almost surely, 2^364740480 is an apocalyptic number.

364740480 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 364740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678328560).

364740480 is an abundant number, since it is smaller than the sum of its proper divisors (991916640).

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

364740480 is a wasteful number, since it uses less digits than its factorization.

364740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 364740480 is about 19098.1800180017. The cubic root of 364740480 is about 714.4875327621.

The spelling of 364740480 in words is "three hundred sixty-four million, seven hundred forty thousand, four hundred eighty".