406361280 has 112 divisors (see below), whose sum is σ = 1389485664. Its totient is φ = 100024320.

The previous prime is 406361243. The next prime is 406361281. The reversal of 406361280 is 82163604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (406361281) 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, 3801 + ... + 28760.

It is an arithmetic number, because the mean of its divisors is an integer number (12406122).

Almost surely, 2^406361280 is an apocalyptic number.

406361280 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 406361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694742832).

406361280 is an abundant number, since it is smaller than the sum of its proper divisors (983124384).

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

406361280 is a wasteful number, since it uses less digits than its factorization.

406361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32594 (or 32584 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 406361280 is about 20158.4046987851. The cubic root of 406361280 is about 740.6916348385.

The spelling of 406361280 in words is "four hundred six million, three hundred sixty-one thousand, two hundred eighty".