440429400 has 240 divisors, whose sum is σ = 1580821440. Its totient is φ = 113529600.

The previous prime is 440429399. The next prime is 440429411. The reversal of 440429400 is 4924044.

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 59 ways as a sum of consecutive naturals, for example, 501762 + ... + 502638.

It is an arithmetic number, because the mean of its divisors is an integer number (6586756).

Almost surely, 2^440429400 is an apocalyptic number.

440429400 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 440429400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790410720).

440429400 is an abundant number, since it is smaller than the sum of its proper divisors (1140392040).

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

440429400 is a wasteful number, since it uses less digits than its factorization.

440429400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 440429400 is about 20986.4098883063. The cubic root of 440429400 is about 760.8378341006.

The spelling of 440429400 in words is "four hundred forty million, four hundred twenty-nine thousand, four hundred".