465193013760 has 320 divisors, whose sum is σ = 1657478021760. Its totient is φ = 123670609920.

The previous prime is 465193013749. The next prime is 465193013777. The reversal of 465193013760 is 67310391564.

It is a happy number.

465193013760 is a `hidden beast` number, since 46 + 519 + 3 + 0 + 1 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×465193013760² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22868554 + ... + 22888886.

It is an arithmetic number, because the mean of its divisors is an integer number (5179618818).

Almost surely, 2^465193013760 is an apocalyptic number.

465193013760 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 465193013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828739010880).

465193013760 is an abundant number, since it is smaller than the sum of its proper divisors (1192285008000).

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

465193013760 is a wasteful number, since it uses less digits than its factorization.

465193013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20696 (or 20674 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 465193013760 in words is "four hundred sixty-five billion, one hundred ninety-three million, thirteen thousand, seven hundred sixty".