465132507840 has 2520 divisors, whose sum is σ = 2285139531312. Its totient is φ = 88763351040.

The previous prime is 465132507787. The next prime is 465132507887. The reversal of 465132507840 is 48705231564.

465132507840 is a `hidden beast` number, since 4 + 6 + 5 + 132 + 507 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×465132507840² (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 359 ways as a sum of consecutive naturals, for example, 2361078622 + ... + 2361078818.

Almost surely, 2^465132507840 is an apocalyptic number.

465132507840 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 465132507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142569765656).

465132507840 is an abundant number, since it is smaller than the sum of its proper divisors (1820007023472).

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

465132507840 is a wasteful number, since it uses less digits than its factorization.

465132507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 465132507840 in words is "four hundred sixty-five billion, one hundred thirty-two million, five hundred seven thousand, eight hundred forty".