462874272 has 96 divisors (see below), whose sum is σ = 1406361600. Its totient is φ = 130560768.

The previous prime is 462874271. The next prime is 462874273. The reversal of 462874272 is 272478264.

It is an interprime number because it is at equal distance from previous prime (462874271) and next prime (462874273).

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 (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (462874271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48729 + ... + 57447.

It is an arithmetic number, because the mean of its divisors is an integer number (14649600).

Almost surely, 2^462874272 is an apocalyptic number.

462874272 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 462874272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703180800).

462874272 is an abundant number, since it is smaller than the sum of its proper divisors (943487328).

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

462874272 is a wasteful number, since it uses less digits than its factorization.

462874272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818 (or 8810 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 462874272 is about 21514.5130551449. The cubic root of 462874272 is about 773.5487357426.

The spelling of 462874272 in words is "four hundred sixty-two million, eight hundred seventy-four thousand, two hundred seventy-two".