405789253632 has 784 divisors, whose sum is σ = 1474932393792. Its totient is φ = 108928696320.

The previous prime is 405789253591. The next prime is 405789253633. The reversal of 405789253632 is 236352987504.

405789253632 is a `hidden beast` number, since 4 + 0 + 5 + 78 + 9 + 2 + 536 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (405789253633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 710663907 + ... + 710664477.

Almost surely, 2^405789253632 is an apocalyptic number.

405789253632 is a gapful number since it is divisible by the number (42) 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 405789253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737466196896).

405789253632 is an abundant number, since it is smaller than the sum of its proper divisors (1069143140160).

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

405789253632 is an frugal number, since it uses more digits than its factorization.

405789253632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 405789253632 in words is "four hundred five billion, seven hundred eighty-nine million, two hundred fifty-three thousand, six hundred thirty-two".