406401500 has 48 divisors (see below), whose sum is σ = 889936320. Its totient is φ = 162129600.

The previous prime is 406401493. The next prime is 406401511. The reversal of 406401500 is 5104604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242666 + ... + 244334.

It is an arithmetic number, because the mean of its divisors is an integer number (18540340).

Almost surely, 2^406401500 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 406401500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444968160).

406401500 is an abundant number, since it is smaller than the sum of its proper divisors (483534820).

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

406401500 is a wasteful number, since it uses less digits than its factorization.

406401500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 406401500 is about 20159.4022728850. The cubic root of 406401500 is about 740.7160709222.

The spelling of 406401500 in words is "four hundred six million, four hundred one thousand, five hundred".