460376400 has 120 divisors (see below), whose sum is σ = 1608852384. Its totient is φ = 111603200.

The previous prime is 460376387. The next prime is 460376407. The reversal of 460376400 is 4673064.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460376407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4239 + ... + 30638.

Almost surely, 2^460376400 is an apocalyptic number.

460376400 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 460376400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804426192).

460376400 is an abundant number, since it is smaller than the sum of its proper divisors (1148475984).

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

460376400 is a wasteful number, since it uses less digits than its factorization.

460376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34909 (or 34898 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 460376400 is about 21456.3836654735. The cubic root of 460376400 is about 772.1547561284.

It can be divided in two parts, 4603 and 76400, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 460376400 in words is "four hundred sixty million, three hundred seventy-six thousand, four hundred".