406121440 has 48 divisors (see below), whose sum is σ = 962847648. Its totient is φ = 161875456.

The previous prime is 406121437. The next prime is 406121497. The reversal of 406121440 is 44121604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42549 + ... + 51211.

It is an arithmetic number, because the mean of its divisors is an integer number (20059326).

Almost surely, 2^406121440 is an apocalyptic number.

406121440 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 406121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481423824).

406121440 is an abundant number, since it is smaller than the sum of its proper divisors (556726208).

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

406121440 is a wasteful number, since it uses less digits than its factorization.

406121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8971 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 406121440 is about 20152.4549373023. The cubic root of 406121440 is about 740.5458840400.

The spelling of 406121440 in words is "four hundred six million, one hundred twenty-one thousand, four hundred forty".