460125155730240 has 4032 divisors, whose sum is σ = 2246629462511616. Its totient is φ = 83997720576000.

The previous prime is 460125155730239. The next prime is 460125155730299. The reversal of 460125155730240 is 42037551521064.

460125155730240 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 2 + 51 + 5 + 573 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×460125155730240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 59966783044 + ... + 59966790716.

It is an arithmetic number, because the mean of its divisors is an integer number (557199767488).

Almost surely, 2^{460125155730240} is an apocalyptic number.

460125155730240 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 460125155730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123314731255808).

460125155730240 is an abundant number, since it is smaller than the sum of its proper divisors (1786504306781376).

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

460125155730240 is a wasteful number, since it uses less digits than its factorization.

460125155730240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7830 (or 7806 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 460125155730240 in words is "four hundred sixty trillion, one hundred twenty-five billion, one hundred fifty-five million, seven hundred thirty thousand, two hundred forty".