406548120 has 128 divisors (see below), whose sum is σ = 1359037440. Its totient is φ = 96445440.

The previous prime is 406548113. The next prime is 406548133. The reversal of 406548120 is 21845604.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58764 + ... + 65316.

It is an arithmetic number, because the mean of its divisors is an integer number (10617480).

Almost surely, 2^406548120 is an apocalyptic number.

406548120 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 406548120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679518720).

406548120 is an abundant number, since it is smaller than the sum of its proper divisors (952489320).

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

406548120 is a wasteful number, since it uses less digits than its factorization.

406548120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 406548120 is about 20163.0384615018. The cubic root of 406548120 is about 740.8051377952.

The spelling of 406548120 in words is "four hundred six million, five hundred forty-eight thousand, one hundred twenty".