465745140 has 240 divisors, whose sum is σ = 1697469312. Its totient is φ = 104696064.

The previous prime is 465745139. The next prime is 465745201. The reversal of 465745140 is 41547564.

465745140 is a `hidden beast` number, since 46 + 574 + 5 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 465745095 and 465745104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 759474 + ... + 760086.

Almost surely, 2^465745140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465745140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848734656).

465745140 is an abundant number, since it is smaller than the sum of its proper divisors (1231724172).

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

465745140 is a wasteful number, since it uses less digits than its factorization.

465745140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 465745140 is about 21581.1292568299. The cubic root of 465745140 is about 775.1446916803.

The spelling of 465745140 in words is "four hundred sixty-five million, seven hundred forty-five thousand, one hundred forty".