405380976 has 360 divisors, whose sum is σ = 1448657280. Its totient is φ = 95546880.

The previous prime is 405380959. The next prime is 405380993. The reversal of 405380976 is 679083504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (405380959) and next prime (405380993).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6870835 + ... + 6870893.

It is an arithmetic number, because the mean of its divisors is an integer number (4024048).

Almost surely, 2^405380976 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 405380976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724328640).

405380976 is an abundant number, since it is smaller than the sum of its proper divisors (1043276304).

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

405380976 is a wasteful number, since it uses less digits than its factorization.

405380976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 405380976 is about 20134.0749973770. The cubic root of 405380976 is about 740.0955415964.

The spelling of 405380976 in words is "four hundred five million, three hundred eighty thousand, nine hundred seventy-six".