460224624246240 has 96 divisors (see below), whose sum is σ = 1656808647298560. Its totient is φ = 105194199826944.

The previous prime is 460224624246091. The next prime is 460224624246251. The reversal of 460224624246240 is 42642426422064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×460224624246240³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 460224624246240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68485803820 + ... + 68485810539.

It is an arithmetic number, because the mean of its divisors is an integer number (17258423409360).

Almost surely, 2^{460224624246240} is an apocalyptic number.

460224624246240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460224624246240 is an abundant number, since it is smaller than the sum of its proper divisors (1196584023052320).

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

460224624246240 is a wasteful number, since it uses less digits than its factorization.

460224624246240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136971614384 (or 136971614376 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 48.

The spelling of 460224624246240 in words is "four hundred sixty trillion, two hundred twenty-four billion, six hundred twenty-four million, two hundred forty-six thousand, two hundred forty".