405572252400 has 720 divisors, whose sum is σ = 1651474656000. Its totient is φ = 90259107840.

The previous prime is 405572252387. The next prime is 405572252411. The reversal of 405572252400 is 4252275504.

405572252400 is a `hidden beast` number, since 40 + 5 + 572 + 2 + 5 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150266251 + ... + 150268949.

It is an arithmetic number, because the mean of its divisors is an integer number (2293714800).

Almost surely, 2^405572252400 is an apocalyptic number.

405572252400 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 405572252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825737328000).

405572252400 is an abundant number, since it is smaller than the sum of its proper divisors (1245902403600).

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

405572252400 is a wasteful number, since it uses less digits than its factorization.

405572252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 405572252400 in words is "four hundred five billion, five hundred seventy-two million, two hundred fifty-two thousand, four hundred".