405254361600 has 960 divisors, whose sum is σ = 1637973912960. Its totient is φ = 98131968000.

The previous prime is 405254361593. The next prime is 405254361623. The reversal of 405254361600 is 6163452504.

405254361600 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 5 + 43 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 459993160 + ... + 459994040.

It is an arithmetic number, because the mean of its divisors is an integer number (1706222826).

Almost surely, 2^405254361600 is an apocalyptic number.

405254361600 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 405254361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818986956480).

405254361600 is an abundant number, since it is smaller than the sum of its proper divisors (1232719551360).

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

405254361600 is an equidigital number, since it uses as much as digits as its factorization.

405254361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 405254361600 in words is "four hundred five billion, two hundred fifty-four million, three hundred sixty-one thousand, six hundred".