364074480 has 480 divisors, whose sum is σ = 1583232000. Its totient is φ = 75271680.

The previous prime is 364074479. The next prime is 364074481. The reversal of 364074480 is 84470463.

364074480 is a `hidden beast` number, since 3 + 640 + 7 + 4 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (364074479) and next prime (364074481).

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 (364074481) 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, 1829421 + ... + 1829619.

It is an arithmetic number, because the mean of its divisors is an integer number (3298400).

Almost surely, 2^364074480 is an apocalyptic number.

364074480 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 364074480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791616000).

364074480 is an abundant number, since it is smaller than the sum of its proper divisors (1219157520).

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

364074480 is a wasteful number, since it uses less digits than its factorization.

364074480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

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

The square root of 364074480 is about 19080.7358348676. The cubic root of 364074480 is about 714.0523935848.

The spelling of 364074480 in words is "three hundred sixty-four million, seventy-four thousand, four hundred eighty".