406151040 has 128 divisors (see below), whose sum is σ = 1302336000. Its totient is φ = 107661312.

The previous prime is 406151021. The next prime is 406151051. The reversal of 406151040 is 40151604.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 406150998 and 406151016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381549 + ... + 382611.

It is an arithmetic number, because the mean of its divisors is an integer number (10174500).

Almost surely, 2^406151040 is an apocalyptic number.

406151040 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 406151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651168000).

406151040 is an abundant number, since it is smaller than the sum of its proper divisors (896184960).

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

406151040 is a wasteful number, since it uses less digits than its factorization.

406151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 406151040 is about 20153.1893257618. The cubic root of 406151040 is about 740.5638750672.

The spelling of 406151040 in words is "four hundred six million, one hundred fifty-one thousand, forty".