462913984 has 84 divisors (see below), whose sum is σ = 1005498624. Its totient is φ = 211341312.

The previous prime is 462913943. The next prime is 462913987. The reversal of 462913984 is 489319264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462913987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1373464 + ... + 1373800.

Almost surely, 2^462913984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502749312).

462913984 is an abundant number, since it is smaller than the sum of its proper divisors (542584640).

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

462913984 is a wasteful number, since it uses less digits than its factorization.

462913984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 479 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The square root of 462913984 is about 21515.4359472449. The cubic root of 462913984 is about 773.5708571484.

The spelling of 462913984 in words is "four hundred sixty-two million, nine hundred thirteen thousand, nine hundred eighty-four".