465353280 has 336 divisors, whose sum is σ = 1877226624. Its totient is φ = 103587840.

The previous prime is 465353269. The next prime is 465353299. The reversal of 465353280 is 82353564.

It is a happy number.

465353280 is a `hidden beast` number, since 46 + 5 + 3 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 826279 + ... + 826841.

It is an arithmetic number, because the mean of its divisors is an integer number (5586984).

Almost surely, 2^465353280 is an apocalyptic number.

465353280 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 465353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938613312).

465353280 is an abundant number, since it is smaller than the sum of its proper divisors (1411873344).

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

465353280 is a wasteful number, since it uses less digits than its factorization.

465353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 465353280 is about 21572.0485814398. The cubic root of 465353280 is about 774.9272383996.

The spelling of 465353280 in words is "four hundred sixty-five million, three hundred fifty-three thousand, two hundred eighty".