466145280 has 260 divisors, whose sum is σ = 1676959812. Its totient is φ = 123863040.

The previous prime is 466145279. The next prime is 466145293. The reversal of 466145280 is 82541664.

It can be written as a sum of positive squares in 2 ways, for example, as 241864704 + 224280576 = 15552^2 + 14976^2 .

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 19 ways as a sum of consecutive naturals, for example, 1658740 + ... + 1659020.

Almost surely, 2^466145280 is an apocalyptic number.

466145280 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 466145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838479906).

466145280 is an abundant number, since it is smaller than the sum of its proper divisors (1210814532).

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

466145280 is an equidigital number, since it uses as much as digits as its factorization.

466145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 466145280 is about 21590.3978657180. The cubic root of 466145280 is about 775.3666139201.

The spelling of 466145280 in words is "four hundred sixty-six million, one hundred forty-five thousand, two hundred eighty".