120409000 has 48 divisors (see below), whose sum is σ = 282571380. Its totient is φ = 48024800.

The previous prime is 120408997. The next prime is 120409001. The reversal of 120409000 is 904021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 81396484 + 39012516 = 9022^2 + 6246^2 .

It is not an unprimeable number, because it can be changed into a prime (120409001) 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, 346827 + ... + 347173.

Almost surely, 2^120409000 is an apocalyptic number.

120409000 is a gapful number since it is divisible by the number (10) 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 120409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141285690).

120409000 is an abundant number, since it is smaller than the sum of its proper divisors (162162380).

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

120409000 is an frugal number, since it uses more digits than its factorization.

120409000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 120409000 is about 10973.1034807843. The cubic root of 120409000 is about 493.8021576050.

The spelling of 120409000 in words is "one hundred twenty million, four hundred nine thousand".