462907872 has 240 divisors, whose sum is σ = 1608026112. Its totient is φ = 127837440.

The previous prime is 462907871. The next prime is 462907873. The reversal of 462907872 is 278709264.

It is an interprime number because it is at equal distance from previous prime (462907871) and next prime (462907873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462907871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562053 + ... + 562875.

Almost surely, 2^462907872 is an apocalyptic number.

462907872 is a gapful number since it is divisible by the number (42) 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 462907872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804013056).

462907872 is an abundant number, since it is smaller than the sum of its proper divisors (1145118240).

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

462907872 is a wasteful number, since it uses less digits than its factorization.

462907872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 462907872 is about 21515.2939092172. The cubic root of 462907872 is about 773.5674525664.

The spelling of 462907872 in words is "four hundred sixty-two million, nine hundred seven thousand, eight hundred seventy-two".