451896480 has 288 divisors, whose sum is σ = 1781305344. Its totient is φ = 102187008.

The previous prime is 451896461. The next prime is 451896539. The reversal of 451896480 is 84698154.

451896480 is a `hidden beast` number, since 4 + 518 + 96 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279984 + ... + 1280336.

It is an arithmetic number, because the mean of its divisors is an integer number (6185088).

Almost surely, 2^451896480 is an apocalyptic number.

451896480 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 451896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890652672).

451896480 is an abundant number, since it is smaller than the sum of its proper divisors (1329408864).

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

451896480 is a wasteful number, since it uses less digits than its factorization.

451896480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 451896480 is about 21257.8569004498. The cubic root of 451896480 is about 767.3844351317.

The spelling of 451896480 in words is "four hundred fifty-one million, eight hundred ninety-six thousand, four hundred eighty".