406402560 has 240 divisors, whose sum is σ = 1455442560. Its totient is φ = 104693760.

The previous prime is 406402553. The next prime is 406402567. The reversal of 406402560 is 65204604.

It is a happy number.

406402560 is a `hidden beast` number, since 40 + 64 + 0 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (406402553) and next prime (406402567).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406402567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713956 + ... + 714524.

It is an arithmetic number, because the mean of its divisors is an integer number (6064344).

Almost surely, 2^406402560 is an apocalyptic number.

406402560 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 406402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727721280).

406402560 is an abundant number, since it is smaller than the sum of its proper divisors (1049040000).

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

406402560 is a wasteful number, since it uses less digits than its factorization.

406402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 610 counting only the distinct ones).

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

The square root of 406402560 is about 20159.4285633299. The cubic root of 406402560 is about 740.7167149146.

The spelling of 406402560 in words is "four hundred six million, four hundred two thousand, five hundred sixty".