451053240 has 128 divisors (see below), whose sum is σ = 1527206400. Its totient is φ = 105566720.

The previous prime is 451053191. The next prime is 451053241. The reversal of 451053240 is 42350154.

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 451053240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451053241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32389 + ... + 44171.

It is an arithmetic number, because the mean of its divisors is an integer number (11931300).

Almost surely, 2^451053240 is an apocalyptic number.

451053240 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 451053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763603200).

451053240 is an abundant number, since it is smaller than the sum of its proper divisors (1076153160).

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

451053240 is a wasteful number, since it uses less digits than its factorization.

451053240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11837 (or 11833 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 451053240 is about 21238.0140314484. The cubic root of 451053240 is about 766.9068241540.

The spelling of 451053240 in words is "four hundred fifty-one million, fifty-three thousand, two hundred forty".