462417480 has 96 divisors (see below), whose sum is σ = 1717560000. Its totient is φ = 105694848.

The previous prime is 462417479. The next prime is 462417481. The reversal of 462417480 is 84714264.

It is an interprime number because it is at equal distance from previous prime (462417479) and next prime (462417481).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (462417481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89230 + ... + 94269.

It is an arithmetic number, because the mean of its divisors is an integer number (17891250).

Almost surely, 2^462417480 is an apocalyptic number.

462417480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462417480 is an abundant number, since it is smaller than the sum of its proper divisors (1255142520).

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

462417480 is a wasteful number, since it uses less digits than its factorization.

462417480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183523 (or 183516 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 462417480 is about 21503.8945309914. The cubic root of 462417480 is about 773.2941906136.

The spelling of 462417480 in words is "four hundred sixty-two million, four hundred seventeen thousand, four hundred eighty".