365472000 has 432 divisors, whose sum is σ = 1392797952. Its totient is φ = 95385600.

The previous prime is 365471999. The next prime is 365472017. The reversal of 365472000 is 274563.

It is a happy number.

365472000 is a `hidden beast` number, since 3 + 654 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 47 ways as a sum of consecutive naturals, for example, 7775977 + ... + 7776023.

Almost surely, 2^365472000 is an apocalyptic number.

365472000 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 365472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696398976).

365472000 is an abundant number, since it is smaller than the sum of its proper divisors (1027325952).

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

365472000 is an frugal number, since it uses more digits than its factorization.

365472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 365472000 is about 19117.3219881865. The cubic root of 365472000 is about 714.9648702319.

The spelling of 365472000 in words is "three hundred sixty-five million, four hundred seventy-two thousand".