451280640 has 288 divisors, whose sum is σ = 1582350336. Its totient is φ = 109117440.

The previous prime is 451280579. The next prime is 451280653. The reversal of 451280640 is 46082154.

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 = 451280598 and 451280607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2023569 + ... + 2023791.

It is an arithmetic number, because the mean of its divisors is an integer number (5494272).

Almost surely, 2^451280640 is an apocalyptic number.

451280640 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 451280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791175168).

451280640 is an abundant number, since it is smaller than the sum of its proper divisors (1131069696).

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

451280640 is a wasteful number, since it uses less digits than its factorization.

451280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 451280640 is about 21243.3669647728. The cubic root of 451280640 is about 767.0356820487.

The spelling of 451280640 in words is "four hundred fifty-one million, two hundred eighty thousand, six hundred forty".