406851120 has 160 divisors (see below), whose sum is σ = 1509278400. Its totient is φ = 100141056.

The previous prime is 406851103. The next prime is 406851131. The reversal of 406851120 is 21158604.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 20836 + ... + 35324.

It is an arithmetic number, because the mean of its divisors is an integer number (9432990).

Almost surely, 2^406851120 is an apocalyptic number.

406851120 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 406851120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754639200).

406851120 is an abundant number, since it is smaller than the sum of its proper divisors (1102427280).

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

406851120 is a wasteful number, since it uses less digits than its factorization.

406851120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14524 (or 14512 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 406851120 is about 20170.5508105257. The cubic root of 406851120 is about 740.9891325915.

The spelling of 406851120 in words is "four hundred six million, eight hundred fifty-one thousand, one hundred twenty".