406146048 has 352 divisors, whose sum is σ = 1443184128. Its totient is φ = 98304000.

The previous prime is 406146017. The next prime is 406146053. The reversal of 406146048 is 840641604.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×406146048² = 329909224612036608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 4021198 + ... + 4021298.

Almost surely, 2^406146048 is an apocalyptic number.

406146048 is a gapful number since it is divisible by the number (48) 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 406146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721592064).

406146048 is an abundant number, since it is smaller than the sum of its proper divisors (1037038080).

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

406146048 is a wasteful number, since it uses less digits than its factorization.

406146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 406146048 is about 20153.0654740166. The cubic root of 406146048 is about 740.5608409661.

The spelling of 406146048 in words is "four hundred six million, one hundred forty-six thousand, forty-eight".