460953504 has 288 divisors, whose sum is σ = 1575153216. Its totient is φ = 131051520.

The previous prime is 460953503. The next prime is 460953527. The reversal of 460953504 is 405359064.

It is a happy number.

460953504 is a `hidden beast` number, since 4 + 60 + 95 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (460953503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1453954 + ... + 1454270.

It is an arithmetic number, because the mean of its divisors is an integer number (5469282).

Almost surely, 2^460953504 is an apocalyptic number.

460953504 is a gapful number since it is divisible by the number (44) 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 460953504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787576608).

460953504 is an abundant number, since it is smaller than the sum of its proper divisors (1114199712).

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

460953504 is a wasteful number, since it uses less digits than its factorization.

460953504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 460953504 is about 21469.8277589738. The cubic root of 460953504 is about 772.4772658028.

The spelling of 460953504 in words is "four hundred sixty million, nine hundred fifty-three thousand, five hundred four".