409274880 has 320 divisors, whose sum is σ = 1565042688. Its totient is φ = 89210880.

The previous prime is 409274867. The next prime is 409274891. The reversal of 409274880 is 88472904.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 1236315 + ... + 1236645.

Almost surely, 2^409274880 is an apocalyptic number.

409274880 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 409274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782521344).

409274880 is an abundant number, since it is smaller than the sum of its proper divisors (1155767808).

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

409274880 is a wasteful number, since it uses less digits than its factorization.

409274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 409274880 is about 20230.5432453012. The cubic root of 409274880 is about 742.4576674388.

The spelling of 409274880 in words is "four hundred nine million, two hundred seventy-four thousand, eight hundred eighty".