462013000 has 32 divisors (see below), whose sum is σ = 1081112760. Its totient is φ = 184804800.

The previous prime is 462012979. The next prime is 462013021. The reversal of 462013000 is 310264.

It is an interprime number because it is at equal distance from previous prime (462012979) and next prime (462013021).

It can be written as a sum of positive squares in 4 ways, for example, as 120428676 + 341584324 = 10974^2 + 18482^2 .

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, 230007 + ... + 232006.

Almost surely, 2^462013000 is an apocalyptic number.

462013000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462013000 is an abundant number, since it is smaller than the sum of its proper divisors (619099760).

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

462013000 is a wasteful number, since it uses less digits than its factorization.

462013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462034 (or 462020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 462013000 is about 21494.4876654458. The cubic root of 462013000 is about 773.0686561203.

Adding to 462013000 its reverse (310264), we get a palindrome (462323264).

The spelling of 462013000 in words is "four hundred sixty-two million, thirteen thousand".