451053540 has 288 divisors, whose sum is σ = 1673118720. Its totient is φ = 96069888.

The previous prime is 451053527. The next prime is 451053553. The reversal of 451053540 is 45350154.

It is an interprime number because it is at equal distance from previous prime (451053527) and next prime (451053553).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1986907 + ... + 1987133.

It is an arithmetic number, because the mean of its divisors is an integer number (5809440).

Almost surely, 2^451053540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451053540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

451053540 is an abundant number, since it is smaller than the sum of its proper divisors (1222065180).

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

451053540 is a wasteful number, since it uses less digits than its factorization.

451053540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 451053540 is about 21238.0210942545. The cubic root of 451053540 is about 766.9069941797.

The spelling of 451053540 in words is "four hundred fifty-one million, fifty-three thousand, five hundred forty".