406149120 has 384 divisors, whose sum is σ = 1568548800. Its totient is φ = 99090432.

The previous prime is 406149103. The next prime is 406149131. The reversal of 406149120 is 21941604.

406149120 is a `hidden beast` number, since 40 + 614 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 3594184 + ... + 3594296.

Almost surely, 2^406149120 is an apocalyptic number.

406149120 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 406149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784274400).

406149120 is an abundant number, since it is smaller than the sum of its proper divisors (1162399680).

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

406149120 is a wasteful number, since it uses less digits than its factorization.

406149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 406149120 is about 20153.1416905653. The cubic root of 406149120 is about 740.5627081082.

The spelling of 406149120 in words is "four hundred six million, one hundred forty-nine thousand, one hundred twenty".