405312500400 has 120 divisors (see below), whose sum is σ = 1299193044240. Its totient is φ = 108013240320.

The previous prime is 405312500399. The next prime is 405312500419. The reversal of 405312500400 is 4005213504.

405312500400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1754856 + ... + 1972344.

It is an arithmetic number, because the mean of its divisors is an integer number (10826608702).

Almost surely, 2^405312500400 is an apocalyptic number.

405312500400 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 405312500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649596522120).

405312500400 is an abundant number, since it is smaller than the sum of its proper divisors (893880543840).

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

405312500400 is a wasteful number, since it uses less digits than its factorization.

405312500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219063 (or 219052 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 405312500400 its reverse (4005213504), we get a palindrome (409317713904).

The spelling of 405312500400 in words is "four hundred five billion, three hundred twelve million, five hundred thousand, four hundred".