462052480 has 64 divisors (see below), whose sum is σ = 1114543800. Its totient is φ = 183156736.

The previous prime is 462052471. The next prime is 462052517. The reversal of 462052480 is 84250264.

It can be written as a sum of positive squares in 4 ways, for example, as 75064896 + 386987584 = 8664^2 + 19672^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 69126 + ... + 75514.

Almost surely, 2^462052480 is an apocalyptic number.

462052480 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 462052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557271900).

462052480 is an abundant number, since it is smaller than the sum of its proper divisors (652491320).

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

462052480 is a wasteful number, since it uses less digits than its factorization.

462052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 462052480 is about 21495.4060208222. The cubic root of 462052480 is about 773.0906756170.

The spelling of 462052480 in words is "four hundred sixty-two million, fifty-two thousand, four hundred eighty".