462462240 has 96 divisors (see below), whose sum is σ = 1465079616. Its totient is φ = 122618880.

The previous prime is 462462233. The next prime is 462462323. The reversal of 462462240 is 42264264.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 462462198 and 462462207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84219 + ... + 89541.

It is an arithmetic number, because the mean of its divisors is an integer number (15261246).

Almost surely, 2^462462240 is an apocalyptic number.

462462240 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 462462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732539808).

462462240 is an abundant number, since it is smaller than the sum of its proper divisors (1002617376).

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

462462240 is a wasteful number, since it uses less digits than its factorization.

462462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 462462240 is about 21504.9352475193. The cubic root of 462462240 is about 773.3191403129.

The spelling of 462462240 in words is "four hundred sixty-two million, four hundred sixty-two thousand, two hundred forty".