451942400 has 288 divisors, whose sum is σ = 1393348320. Its totient is φ = 141557760.

The previous prime is 451942369. The next prime is 451942429. The reversal of 451942400 is 4249154.

It is a congruent number.

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, 4659152 + ... + 4659248.

It is an arithmetic number, because the mean of its divisors is an integer number (4838015).

Almost surely, 2^451942400 is an apocalyptic number.

451942400 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 451942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696674160).

451942400 is an abundant number, since it is smaller than the sum of its proper divisors (941405920).

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

451942400 is a wasteful number, since it uses less digits than its factorization.

451942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 451942400 is about 21258.9369442595. The cubic root of 451942400 is about 767.4104271463.

The spelling of 451942400 in words is "four hundred fifty-one million, nine hundred forty-two thousand, four hundred".