440125680 has 160 divisors (see below), whose sum is σ = 1403624448. Its totient is φ = 114048000.

The previous prime is 440125649. The next prime is 440125717. The reversal of 440125680 is 86521044.

It is a super-2 number, since 2×440125680² = 387421228390924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1623945 + ... + 1624215.

Almost surely, 2^440125680 is an apocalyptic number.

440125680 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 440125680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701812224).

440125680 is an abundant number, since it is smaller than the sum of its proper divisors (963498768).

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

440125680 is a wasteful number, since it uses less digits than its factorization.

440125680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 440125680 is about 20979.1725289631. The cubic root of 440125680 is about 760.6629026925.

The spelling of 440125680 in words is "four hundred forty million, one hundred twenty-five thousand, six hundred eighty".