408492120 has 64 divisors (see below), whose sum is σ = 1226949120. Its totient is φ = 108800384.

The previous prime is 408492109. The next prime is 408492127. The reversal of 408492120 is 21294804.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408492127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138097 + ... + 141023.

It is an arithmetic number, because the mean of its divisors is an integer number (19171080).

Almost surely, 2^408492120 is an apocalyptic number.

408492120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408492120 is an abundant number, since it is smaller than the sum of its proper divisors (818457000).

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

408492120 is a wasteful number, since it uses less digits than its factorization.

408492120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 408492120 is about 20211.1879908134. The cubic root of 408492120 is about 741.9840354211.

It can be divided in two parts, 408 and 492120, that added together give a triangular number (492528 = T₉₉₂).

The spelling of 408492120 in words is "four hundred eight million, four hundred ninety-two thousand, one hundred twenty".