465372000 has 384 divisors, whose sum is σ = 1761177600. Its totient is φ = 119232000.

The previous prime is 465371983. The next prime is 465372001. The reversal of 465372000 is 273564.

It is a happy number.

465372000 is a `hidden beast` number, since 4 + 653 + 7 + 2 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465372001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3347931 + ... + 3348069.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^465372000 is an apocalyptic number.

465372000 is a gapful number since it is divisible by the number (40) 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 465372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

465372000 is an abundant number, since it is smaller than the sum of its proper divisors (1295805600).

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

465372000 is a wasteful number, since it uses less digits than its factorization.

465372000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

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

The square root of 465372000 is about 21572.4824718900. The cubic root of 465372000 is about 774.9376293893.

The spelling of 465372000 in words is "four hundred sixty-five million, three hundred seventy-two thousand".