406383744 has 128 divisors (see below), whose sum is σ = 1173473280. Its totient is φ = 123863040.

The previous prime is 406383739. The next prime is 406383749. The reversal of 406383744 is 447383604.

It is an interprime number because it is at equal distance from previous prime (406383739) and next prime (406383749).

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (406383749) 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 15 ways as a sum of consecutive naturals, for example, 633664 + ... + 634304.

It is an arithmetic number, because the mean of its divisors is an integer number (9167760).

Almost surely, 2^406383744 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 406383744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586736640).

406383744 is an abundant number, since it is smaller than the sum of its proper divisors (767089536).

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

406383744 is a wasteful number, since it uses less digits than its factorization.

406383744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 406383744 is about 20158.9618780333. The cubic root of 406383744 is about 740.7052832766.

The spelling of 406383744 in words is "four hundred six million, three hundred eighty-three thousand, seven hundred forty-four".