405954120 has 256 divisors, whose sum is σ = 1468212480. Its totient is φ = 88473600.

The previous prime is 405954113. The next prime is 405954149. The reversal of 405954120 is 21459504.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 703272 + ... + 703848.

It is an arithmetic number, because the mean of its divisors is an integer number (5735205).

Almost surely, 2^405954120 is an apocalyptic number.

405954120 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 405954120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734106240).

405954120 is an abundant number, since it is smaller than the sum of its proper divisors (1062258360).

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

405954120 is a wasteful number, since it uses less digits than its factorization.

405954120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 405954120 is about 20148.3031543602. The cubic root of 405954120 is about 740.4441696712. Note that the first 3 decimals are identical.

The spelling of 405954120 in words is "four hundred five million, nine hundred fifty-four thousand, one hundred twenty".