462952960 has 80 divisors (see below), whose sum is σ = 1116944136. Its totient is φ = 184025088.

The previous prime is 462952951. The next prime is 462952981. The reversal of 462952960 is 69259264.

It can be written as a sum of positive squares in 4 ways, for example, as 189778176 + 273174784 = 13776^2 + 16528^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493612 + ... + 494548.

Almost surely, 2^462952960 is an apocalyptic number.

462952960 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 462952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558472068).

462952960 is an abundant number, since it is smaller than the sum of its proper divisors (653991176).

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

462952960 is an equidigital number, since it uses as much as digits as its factorization.

462952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The square root of 462952960 is about 21516.3416964873. The cubic root of 462952960 is about 773.5925673384.

The spelling of 462952960 in words is "four hundred sixty-two million, nine hundred fifty-two thousand, nine hundred sixty".