406403460 has 96 divisors (see below), whose sum is σ = 1273104000. Its totient is φ = 107625600.

The previous prime is 406403453. The next prime is 406403461. The reversal of 406403460 is 64304604.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (406403461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77935 + ... + 82985.

It is an arithmetic number, because the mean of its divisors is an integer number (13261500).

Almost surely, 2^406403460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406403460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636552000).

406403460 is an abundant number, since it is smaller than the sum of its proper divisors (866700540).

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

406403460 is a wasteful number, since it uses less digits than its factorization.

406403460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5218 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 406403460 is about 20159.4508853788. The cubic root of 406403460 is about 740.7172616996.

It can be divided in two parts, 40640 and 3460, that added together give a square (44100 = 210²).

The spelling of 406403460 in words is "four hundred six million, four hundred three thousand, four hundred sixty".