406296000 has 672 divisors, whose sum is σ = 1730776320. Its totient is φ = 93312000.

The previous prime is 406295993. The next prime is 406296017. The reversal of 406296000 is 692604.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 21383991 + ... + 21384009.

It is an arithmetic number, because the mean of its divisors is an integer number (2575560).

Almost surely, 2^406296000 is an apocalyptic number.

406296000 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 406296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865388160).

406296000 is an abundant number, since it is smaller than the sum of its proper divisors (1324480320).

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

406296000 is a wasteful number, since it uses less digits than its factorization.

406296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 406296000 is about 20156.7854580040. The cubic root of 406296000 is about 740.6519698559.

The spelling of 406296000 in words is "four hundred six million, two hundred ninety-six thousand".