463913400 has 96 divisors (see below), whose sum is σ = 1477070640. Its totient is φ = 120360960.

The previous prime is 463913393. The next prime is 463913431. The reversal of 463913400 is 4319364.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11752 + ... + 32648.

Almost surely, 2^463913400 is an apocalyptic number.

463913400 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 463913400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738535320).

463913400 is an abundant number, since it is smaller than the sum of its proper divisors (1013157240).

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

463913400 is a wasteful number, since it uses less digits than its factorization.

463913400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20953 (or 20944 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 463913400 is about 21538.6489827008. The cubic root of 463913400 is about 774.1271616350.

The spelling of 463913400 in words is "four hundred sixty-three million, nine hundred thirteen thousand, four hundred".