406298592 has 240 divisors, whose sum is σ = 1396533600. Its totient is φ = 115831296.

The previous prime is 406298587. The next prime is 406298593. The reversal of 406298592 is 295892604.

It is a super-2 number, since 2×406298592² = 330157091722364928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406298593) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 888828 + ... + 889284.

It is an arithmetic number, because the mean of its divisors is an integer number (5818890).

Almost surely, 2^406298592 is an apocalyptic number.

406298592 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 406298592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698266800).

406298592 is an abundant number, since it is smaller than the sum of its proper divisors (990235008).

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

406298592 is an equidigital number, since it uses as much as digits as its factorization.

406298592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 406298592 is about 20156.8497538678. The cubic root of 406298592 is about 740.6535448700.

The spelling of 406298592 in words is "four hundred six million, two hundred ninety-eight thousand, five hundred ninety-two".