465147540 has 288 divisors, whose sum is σ = 1756774656. Its totient is φ = 97873920.

The previous prime is 465147539. The next prime is 465147547. The reversal of 465147540 is 45741564.

465147540 is a `hidden beast` number, since 465 + 147 + 54 + 0 = 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 = 465147495 and 465147504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465147547) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 437049 + ... + 438111.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2^465147540 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 465147540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878387328).

465147540 is an abundant number, since it is smaller than the sum of its proper divisors (1291627116).

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

465147540 is a wasteful number, since it uses less digits than its factorization.

465147540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1114 counting only the distinct ones).

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

The square root of 465147540 is about 21567.2793833622. The cubic root of 465147540 is about 774.8130190608.

The spelling of 465147540 in words is "four hundred sixty-five million, one hundred forty-seven thousand, five hundred forty".