406258380 has 144 divisors (see below), whose sum is σ = 1415232000. Its totient is φ = 93294720.

The previous prime is 406258373. The next prime is 406258387. The reversal of 406258380 is 83852604.

It is an interprime number because it is at equal distance from previous prime (406258373) and next prime (406258387).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (406258387) 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, 32221 + ... + 43019.

It is an arithmetic number, because the mean of its divisors is an integer number (9828000).

Almost surely, 2^406258380 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 406258380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707616000).

406258380 is an abundant number, since it is smaller than the sum of its proper divisors (1008973620).

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

406258380 is a wasteful number, since it uses less digits than its factorization.

406258380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10844 (or 10839 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 406258380 is about 20155.8522518895. The cubic root of 406258380 is about 740.6291095216.

The spelling of 406258380 in words is "four hundred six million, two hundred fifty-eight thousand, three hundred eighty".