953304480 has 144 divisors (see below), whose sum is σ = 3424468320. Its totient is φ = 240827904.

The previous prime is 953304463. The next prime is 953304497. The reversal of 953304480 is 84403359.

953304480 is a `hidden beast` number, since 9 + 533 + 0 + 44 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (953304463) and next prime (953304497).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9939 + ... + 44781.

It is an arithmetic number, because the mean of its divisors is an integer number (23781030).

Almost surely, 2^953304480 is an apocalyptic number.

953304480 is a gapful number since it is divisible by the number (90) 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 953304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712234160).

953304480 is an abundant number, since it is smaller than the sum of its proper divisors (2471163840).

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

953304480 is a wasteful number, since it uses less digits than its factorization.

953304480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34883 (or 34872 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 953304480 is about 30875.6292243575. The cubic root of 953304480 is about 984.1860643588.

The spelling of 953304480 in words is "nine hundred fifty-three million, three hundred four thousand, four hundred eighty".