409704048 has 80 divisors (see below), whose sum is σ = 1266481440. Its totient is φ = 126061056.

The previous prime is 409704047. The next prime is 409704059. The reversal of 409704048 is 840407904.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409704047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30861 + ... + 42092.

It is an arithmetic number, because the mean of its divisors is an integer number (15831018).

Almost surely, 2^409704048 is an apocalyptic number.

409704048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409704048 is an abundant number, since it is smaller than the sum of its proper divisors (856777392).

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

409704048 is a wasteful number, since it uses less digits than its factorization.

409704048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72983 (or 72971 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 409704048 is about 20241.1473983072. The cubic root of 409704048 is about 742.7170919129.

The spelling of 409704048 in words is "four hundred nine million, seven hundred four thousand, forty-eight".