440270400 has 252 divisors, whose sum is σ = 1506705648. Its totient is φ = 112527360.

The previous prime is 440270381. The next prime is 440270447. The reversal of 440270400 is 4072044.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6571167 + ... + 6571233.

Almost surely, 2^440270400 is an apocalyptic number.

440270400 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 440270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753352824).

440270400 is an abundant number, since it is smaller than the sum of its proper divisors (1066435248).

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

440270400 is a wasteful number, since it uses less digits than its factorization.

440270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 440270400 is about 20982.6213805616. The cubic root of 440270400 is about 760.7462660565.

The spelling of 440270400 in words is "four hundred forty million, two hundred seventy thousand, four hundred".