451210560 has 112 divisors (see below), whose sum is σ = 1471428096. Its totient is φ = 117061632.

The previous prime is 451210559. The next prime is 451210561. The reversal of 451210560 is 65012154.

It is an interprime number because it is at equal distance from previous prime (451210559) and next prime (451210561).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 451210560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451210561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29169 + ... + 41871.

Almost surely, 2^451210560 is an apocalyptic number.

451210560 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 451210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735714048).

451210560 is an abundant number, since it is smaller than the sum of its proper divisors (1020217536).

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

451210560 is a wasteful number, since it uses less digits than its factorization.

451210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12760 (or 12750 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 451210560 is about 21241.7174446889. The cubic root of 451210560 is about 766.9959753130.

The spelling of 451210560 in words is "four hundred fifty-one million, two hundred ten thousand, five hundred sixty".