460377400 has 96 divisors (see below), whose sum is σ = 1227600000. Its totient is φ = 157288320.

The previous prime is 460377389. The next prime is 460377409. The reversal of 460377400 is 4773064.

460377400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460377409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 698271 + ... + 698929.

It is an arithmetic number, because the mean of its divisors is an integer number (12787500).

Almost surely, 2^460377400 is an apocalyptic number.

460377400 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 460377400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613800000).

460377400 is an abundant number, since it is smaller than the sum of its proper divisors (767222600).

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

460377400 is a wasteful number, since it uses less digits than its factorization.

460377400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 460377400 is about 21456.4069685490. The cubic root of 460377400 is about 772.1553152030.

The spelling of 460377400 in words is "four hundred sixty million, three hundred seventy-seven thousand, four hundred".