460240704 has 280 divisors, whose sum is σ = 1702417728. Its totient is φ = 119439360.

The previous prime is 460240687. The next prime is 460240717. The reversal of 460240704 is 407042064.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 398592 + ... + 399744.

Almost surely, 2^460240704 is an apocalyptic number.

460240704 is a gapful number since it is divisible by the number (44) 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 460240704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851208864).

460240704 is an abundant number, since it is smaller than the sum of its proper divisors (1242177024).

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

460240704 is a wasteful number, since it uses less digits than its factorization.

460240704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 460240704 is about 21453.2212965792. The cubic root of 460240704 is about 772.0788844374.

Adding to 460240704 its reverse (407042064), we get a palindrome (867282768).

The spelling of 460240704 in words is "four hundred sixty million, two hundred forty thousand, seven hundred four".