465540600 has 192 divisors, whose sum is σ = 1660608000. Its totient is φ = 105684480.

The previous prime is 465540571. The next prime is 465540619. The reversal of 465540600 is 6045564.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835522 + ... + 836078.

It is an arithmetic number, because the mean of its divisors is an integer number (8649000).

Almost surely, 2^465540600 is an apocalyptic number.

465540600 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 465540600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830304000).

465540600 is an abundant number, since it is smaller than the sum of its proper divisors (1195067400).

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

465540600 is a wasteful number, since it uses less digits than its factorization.

465540600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 465540600 is about 21576.3898741193. The cubic root of 465540600 is about 775.0312023511.

The spelling of 465540600 in words is "four hundred sixty-five million, five hundred forty thousand, six hundred".