406623672 has 256 divisors, whose sum is σ = 1409587200. Its totient is φ = 105753600.

The previous prime is 406623661. The next prime is 406623689. The reversal of 406623672 is 276326604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2692797 + ... + 2692947.

It is an arithmetic number, because the mean of its divisors is an integer number (5506200).

Almost surely, 2^406623672 is an apocalyptic number.

406623672 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 406623672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704793600).

406623672 is an abundant number, since it is smaller than the sum of its proper divisors (1002963528).

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

406623672 is a wasteful number, since it uses less digits than its factorization.

406623672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 406623672 is about 20164.9119016176. The cubic root of 406623672 is about 740.8510248135.

The spelling of 406623672 in words is "four hundred six million, six hundred twenty-three thousand, six hundred seventy-two".