462678720 has 224 divisors, whose sum is σ = 1733799936. Its totient is φ = 102297600.

The previous prime is 462678691. The next prime is 462678721. The reversal of 462678720 is 27876264.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462678721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207210 + ... + 209430.

Almost surely, 2^462678720 is an apocalyptic number.

462678720 is a gapful number since it is divisible by the number (40) 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 462678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866899968).

462678720 is an abundant number, since it is smaller than the sum of its proper divisors (1271121216).

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

462678720 is a wasteful number, since it uses less digits than its factorization.

462678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 462678720 is about 21509.9679218729. The cubic root of 462678720 is about 773.4397858477.

The spelling of 462678720 in words is "four hundred sixty-two million, six hundred seventy-eight thousand, seven hundred twenty".