465454080 has 704 divisors, whose sum is σ = 2090887680. Its totient is φ = 95551488.

The previous prime is 465454051. The next prime is 465454091. The reversal of 465454080 is 80454564.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12579822 + ... + 12579858.

Almost surely, 2^465454080 is an apocalyptic number.

465454080 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 465454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045443840).

465454080 is an abundant number, since it is smaller than the sum of its proper divisors (1625433600).

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

465454080 is a wasteful number, since it uses less digits than its factorization.

465454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 465454080 is about 21574.3848116233. The cubic root of 465454080 is about 774.9831865933.

It can be divided in two parts, 46545 and 4080, that added together give a 4-th power (50625 = 15⁴).

The spelling of 465454080 in words is "four hundred sixty-five million, four hundred fifty-four thousand, eighty".