460742400 has 324 divisors, whose sum is σ = 1738074520. Its totient is φ = 116121600.

The previous prime is 460742383. The next prime is 460742437. The reversal of 460742400 is 4247064.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1094190 + ... + 1094610.

Almost surely, 2^460742400 is an apocalyptic number.

460742400 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 460742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869037260).

460742400 is an abundant number, since it is smaller than the sum of its proper divisors (1277332120).

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

460742400 is a wasteful number, since it uses less digits than its factorization.

460742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 450 counting only the distinct ones).

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

The square root of 460742400 is about 21464.9109012826. The cubic root of 460742400 is about 772.3593233640.

Adding to 460742400 its reverse (4247064), we get a palindrome (464989464).

The spelling of 460742400 in words is "four hundred sixty million, seven hundred forty-two thousand, four hundred".