406734144 has 56 divisors (see below), whose sum is σ = 1080259968. Its totient is φ = 135060480.

The previous prime is 406734143. The next prime is 406734179. The reversal of 406734144 is 441437604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406734143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48124 + ... + 55940.

Almost surely, 2^406734144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540129984).

406734144 is an abundant number, since it is smaller than the sum of its proper divisors (673525824).

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

406734144 is a wasteful number, since it uses less digits than its factorization.

406734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8103 (or 8093 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 406734144 is about 20167.6509291489. The cubic root of 406734144 is about 740.9181104994.

The spelling of 406734144 in words is "four hundred six million, seven hundred thirty-four thousand, one hundred forty-four".