188425440 has 480 divisors, whose sum is σ = 796207104. Its totient is φ = 41057280.

The previous prime is 188425439. The next prime is 188425459. The reversal of 188425440 is 44524881.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 188425395 and 188425404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2812287 + ... + 2812353.

Almost surely, 2^188425440 is an apocalyptic number.

188425440 is a gapful number since it is divisible by the number (10) 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 188425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398103552).

188425440 is an abundant number, since it is smaller than the sum of its proper divisors (607781664).

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

188425440 is a wasteful number, since it uses less digits than its factorization.

188425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 188425440 is about 13726.8146341385. The cubic root of 188425440 is about 573.2972334701.

The spelling of 188425440 in words is "one hundred eighty-eight million, four hundred twenty-five thousand, four hundred forty".