409374720 has 156 divisors (see below), whose sum is σ = 1419631356. Its totient is φ = 109117440.

The previous prime is 409374689. The next prime is 409374727. The reversal of 409374720 is 27473904.

It can be written as a sum of positive squares in 2 ways, for example, as 212926464 + 196448256 = 14592^2 + 14016^2 .

It is a super-2 number, since 2×409374720² = 335175322750156800, which contains 22 as substring.

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 (409374727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183210 + ... + 185430.

It is an arithmetic number, because the mean of its divisors is an integer number (9100201).

Almost surely, 2^409374720 is an apocalyptic number.

409374720 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 409374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709815678).

409374720 is an abundant number, since it is smaller than the sum of its proper divisors (1010256636).

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

409374720 is a wasteful number, since it uses less digits than its factorization.

409374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 409374720 is about 20233.0106509140. The cubic root of 409374720 is about 742.5180351365.

The spelling of 409374720 in words is "four hundred nine million, three hundred seventy-four thousand, seven hundred twenty".