406792980 has 144 divisors (see below), whose sum is σ = 1379222208. Its totient is φ = 96192000.

The previous prime is 406792937. The next prime is 406792987. The reversal of 406792980 is 89297604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406792987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78675 + ... + 83685.

It is an arithmetic number, because the mean of its divisors is an integer number (9577932).

Almost surely, 2^406792980 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 406792980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689611104).

406792980 is an abundant number, since it is smaller than the sum of its proper divisors (972429228).

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

406792980 is a wasteful number, since it uses less digits than its factorization.

406792980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 406792980 is about 20169.1095490108. The cubic root of 406792980 is about 740.9538345358.

The spelling of 406792980 in words is "four hundred six million, seven hundred ninety-two thousand, nine hundred eighty".