465235937280 has 1152 divisors, whose sum is σ = 1826922988800. Its totient is φ = 111901409280.

The previous prime is 465235937273. The next prime is 465235937321. The reversal of 465235937280 is 82739532564.

465235937280 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 359 + 3 + 7 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4516853709 + ... + 4516853811.

It is an arithmetic number, because the mean of its divisors is an integer number (1585870650).

Almost surely, 2^465235937280 is an apocalyptic number.

465235937280 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 465235937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913461494400).

465235937280 is an abundant number, since it is smaller than the sum of its proper divisors (1361687051520).

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

465235937280 is a wasteful number, since it uses less digits than its factorization.

465235937280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 465235937280 in words is "four hundred sixty-five billion, two hundred thirty-five million, nine hundred thirty-seven thousand, two hundred eighty".