460377540 has 288 divisors, whose sum is σ = 1691504640. Its totient is φ = 103638528.

The previous prime is 460377539. The next prime is 460377563. The reversal of 460377540 is 45773064.

460377540 is a `hidden beast` number, since 4 + 603 + 7 + 7 + 5 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 460377495 and 460377504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3360352 + ... + 3360488.

It is an arithmetic number, because the mean of its divisors is an integer number (5873280).

Almost surely, 2^460377540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460377540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845752320).

460377540 is an abundant number, since it is smaller than the sum of its proper divisors (1231127100).

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

460377540 is a wasteful number, since it uses less digits than its factorization.

460377540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 460377540 is about 21456.4102309776. The cubic root of 460377540 is about 772.1553934734.

The spelling of 460377540 in words is "four hundred sixty million, three hundred seventy-seven thousand, five hundred forty".