409170048 has 192 divisors, whose sum is σ = 1293539520. Its totient is φ = 112250880.

The previous prime is 409169951. The next prime is 409170061. The reversal of 409170048 is 840071904.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 2260518 + ... + 2260698.

It is an arithmetic number, because the mean of its divisors is an integer number (6737185).

Almost surely, 2^409170048 is an apocalyptic number.

409170048 is a gapful number since it is divisible by the number (48) 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 409170048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646769760).

409170048 is an abundant number, since it is smaller than the sum of its proper divisors (884369472).

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

409170048 is a wasteful number, since it uses less digits than its factorization.

409170048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 409170048 is about 20227.9521454842. The cubic root of 409170048 is about 742.3942707891.

The spelling of 409170048 in words is "four hundred nine million, one hundred seventy thousand, forty-eight".