460761650469400 has 1536 divisors, whose sum is σ = 1481171484672000. Its totient is φ = 129379700736000.

The previous prime is 460761650469391. The next prime is 460761650469413. The reversal of 460761650469400 is 4964056167064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42236831146 + ... + 42236842054.

It is an arithmetic number, because the mean of its divisors is an integer number (964304352000).

Almost surely, 2^{460761650469400} is an apocalyptic number.

460761650469400 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 460761650469400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740585742336000).

460761650469400 is an abundant number, since it is smaller than the sum of its proper divisors (1020409834202600).

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

460761650469400 is a wasteful number, since it uses less digits than its factorization.

460761650469400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153 (or 11144 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 460761650469400 in words is "four hundred sixty trillion, seven hundred sixty-one billion, six hundred fifty million, four hundred sixty-nine thousand, four hundred".