462409968 has 20 divisors (see below), whose sum is σ = 1194559208. Its totient is φ = 154136640.

The previous prime is 462409933. The next prime is 462409999. The reversal of 462409968 is 869904264.

It is a super-2 number, since 2×462409968² = 427645957011522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 9633541 = 462409968 / (4 + 6 + 2 + 4 + 0 + 9 + 9 + 6 + 8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4816723 + ... + 4816818.

Almost surely, 2^462409968 is an apocalyptic number.

462409968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

462409968 is an abundant number, since it is smaller than the sum of its proper divisors (732149240).

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

462409968 is a wasteful number, since it uses less digits than its factorization.

462409968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9633552 (or 9633546 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 462409968 is about 21503.7198642467. The cubic root of 462409968 is about 773.2900031873.

The spelling of 462409968 in words is "four hundred sixty-two million, four hundred nine thousand, nine hundred sixty-eight".