406593408 has 128 divisors (see below), whose sum is σ = 1178956800. Its totient is φ = 123402240.

The previous prime is 406593401. The next prime is 406593409. The reversal of 406593408 is 804395604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406593401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393853 + ... + 394883.

It is an arithmetic number, because the mean of its divisors is an integer number (9210600).

Almost surely, 2^406593408 is an apocalyptic number.

406593408 is a gapful number since it is divisible by the number (48) 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 406593408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589478400).

406593408 is an abundant number, since it is smaller than the sum of its proper divisors (772363392).

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

406593408 is a wasteful number, since it uses less digits than its factorization.

406593408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 406593408 is about 20164.1614752511. The cubic root of 406593408 is about 740.8326444509.

The spelling of 406593408 in words is "four hundred six million, five hundred ninety-three thousand, four hundred eight".