460827746000 has 40 divisors (see below), whose sum is σ = 1114281494664. Its totient is φ = 184331097600.

The previous prime is 460827745921. The next prime is 460827746023. The reversal of 460827746000 is 647728064.

It can be written as a sum of positive squares in 4 ways, for example, as 107240530576 + 353587215424 = 327476^2 + 594632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×460827746000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115204937 + ... + 115208936.

Almost surely, 2^460827746000 is an apocalyptic number.

460827746000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460827746000 is an abundant number, since it is smaller than the sum of its proper divisors (653453748664).

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

460827746000 is a wasteful number, since it uses less digits than its factorization.

460827746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230413896 (or 230413880 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 460827746000 in words is "four hundred sixty billion, eight hundred twenty-seven million, seven hundred forty-six thousand".