451392240 has 240 divisors, whose sum is σ = 1568471040. Its totient is φ = 107228160.

The previous prime is 451392239. The next prime is 451392257. The reversal of 451392240 is 42293154.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 451392198 and 451392207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1257181 + ... + 1257539.

It is an arithmetic number, because the mean of its divisors is an integer number (6535296).

Almost surely, 2^451392240 is an apocalyptic number.

451392240 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 451392240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784235520).

451392240 is an abundant number, since it is smaller than the sum of its proper divisors (1117078800).

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

451392240 is a wasteful number, since it uses less digits than its factorization.

451392240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 451392240 is about 21245.9935046587. The cubic root of 451392240 is about 767.0989051810.

The spelling of 451392240 in words is "four hundred fifty-one million, three hundred ninety-two thousand, two hundred forty".