403125724800 has 576 divisors, whose sum is σ = 1498007871360. Its totient is φ = 107047526400.

The previous prime is 403125724753. The next prime is 403125724823. The reversal of 403125724800 is 8427521304.

It is a happy number.

403125724800 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 2 + 572 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210728644 + ... + 210730556.

It is an arithmetic number, because the mean of its divisors is an integer number (2600708110).

Almost surely, 2^403125724800 is an apocalyptic number.

403125724800 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 403125724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749003935680).

403125724800 is an abundant number, since it is smaller than the sum of its proper divisors (1094882146560).

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

403125724800 is a wasteful number, since it uses less digits than its factorization.

403125724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 403125724800 in words is "four hundred three billion, one hundred twenty-five million, seven hundred twenty-four thousand, eight hundred".