406425600 has 585 divisors, whose sum is σ = 1751293137. Its totient is φ = 92897280.

The previous prime is 406425589. The next prime is 406425601. The reversal of 406425600 is 6524604.

It is a happy number.

The square root of 406425600 is 20160.

It is a perfect power (a square), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as 8! ⋅ 7! ⋅ 2!.

406425600 is a `hidden beast` number, since 40 + 64 + 2 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146313216 + 260112384 = 12096^2 + 16128^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (406425601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 58060797 + ... + 58060803.

Almost surely, 2^406425600 is an apocalyptic number.

406425600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

406425600 is the 20160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406425600

406425600 is an abundant number, since it is smaller than the sum of its proper divisors (1344867537).

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

406425600 is an equidigital number, since it uses as much as digits as its factorization.

406425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 406425600 is about 740.7307123581.

The spelling of 406425600 in words is "four hundred six million, four hundred twenty-five thousand, six hundred".