451545600 has 240 divisors, whose sum is σ = 1628779680. Its totient is φ = 109363200.

The previous prime is 451545581. The next prime is 451545613. The reversal of 451545600 is 6545154.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421866 + ... + 422934.

It is an arithmetic number, because the mean of its divisors is an integer number (6786582).

Almost surely, 2^451545600 is an apocalyptic number.

451545600 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 451545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814389840).

451545600 is an abundant number, since it is smaller than the sum of its proper divisors (1177234080).

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

451545600 is a wasteful number, since it uses less digits than its factorization.

451545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 451545600 is about 21249.6023492206. The cubic root of 451545600 is about 767.1857690046.

The spelling of 451545600 in words is "four hundred fifty-one million, five hundred forty-five thousand, six hundred".