409950720 has 240 divisors, whose sum is σ = 1474593120. Its totient is φ = 109154304.

The previous prime is 409950719. The next prime is 409950731. The reversal of 409950720 is 27059904.

409950720 is a `hidden beast` number, since 40 + 99 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621751 + ... + 622409.

It is an arithmetic number, because the mean of its divisors is an integer number (6144138).

Almost surely, 2^409950720 is an apocalyptic number.

409950720 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 409950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737296560).

409950720 is an abundant number, since it is smaller than the sum of its proper divisors (1064642400).

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

409950720 is an frugal number, since it uses more digits than its factorization.

409950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 409950720 is about 20247.2398118855. The cubic root of 409950720 is about 742.8661187983.

The spelling of 409950720 in words is "four hundred nine million, nine hundred fifty thousand, seven hundred twenty".