405075400 has 24 divisors (see below), whose sum is σ = 941800770. Its totient is φ = 162030080.

The previous prime is 405075313. The next prime is 405075409. The reversal of 405075400 is 4570504.

It can be written as a sum of positive squares in 3 ways, for example, as 332041284 + 73034116 = 18222^2 + 8546^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (405075409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1012489 + ... + 1012888.

Almost surely, 2^405075400 is an apocalyptic number.

405075400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405075400 is an abundant number, since it is smaller than the sum of its proper divisors (536725370).

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

405075400 is a wasteful number, since it uses less digits than its factorization.

405075400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025393 (or 2025384 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 405075400 is about 20126.4850383767. The cubic root of 405075400 is about 739.9095336206.

The spelling of 405075400 in words is "four hundred five million, seventy-five thousand, four hundred".