365420880 has 480 divisors, whose sum is σ = 1455442560. Its totient is φ = 81285120.

The previous prime is 365420873. The next prime is 365420921. The reversal of 365420880 is 88024563.

365420880 is a `hidden beast` number, since 36 + 542 + 0 + 8 + 80 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8498139 + ... + 8498181.

It is an arithmetic number, because the mean of its divisors is an integer number (3032172).

Almost surely, 2^365420880 is an apocalyptic number.

365420880 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 365420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727721280).

365420880 is an abundant number, since it is smaller than the sum of its proper divisors (1090021680).

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

365420880 is a wasteful number, since it uses less digits than its factorization.

365420880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 365420880 is about 19115.9849340807. The cubic root of 365420880 is about 714.9315336987.

The spelling of 365420880 in words is "three hundred sixty-five million, four hundred twenty thousand, eight hundred eighty".