405774400 has 42 divisors (see below), whose sum is σ = 998462570. Its totient is φ = 162309120.

The previous prime is 405774373. The next prime is 405774403. The reversal of 405774400 is 4477504.

It can be written as a sum of positive squares in 3 ways, for example, as 14684224 + 391090176 = 3832^2 + 19776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405774403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125205 + ... + 128404.

Almost surely, 2^405774400 is an apocalyptic number.

405774400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405774400 is an abundant number, since it is smaller than the sum of its proper divisors (592688170).

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

405774400 is a wasteful number, since it uses less digits than its factorization.

405774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253631 (or 253616 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 405774400 is about 20143.8427317133. The cubic root of 405774400 is about 740.3348861652.

The spelling of 405774400 in words is "four hundred five million, seven hundred seventy-four thousand, four hundred".