920125440 has 320 divisors, whose sum is σ = 3523212000. Its totient is φ = 226492416.

The previous prime is 920125379. The next prime is 920125447. The reversal of 920125440 is 44521029.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920125447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70778874 + ... + 70778886.

Almost surely, 2^920125440 is an apocalyptic number.

920125440 is a gapful number since it is divisible by the number (90) 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 920125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761606000).

920125440 is an abundant number, since it is smaller than the sum of its proper divisors (2603086560).

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

920125440 is an frugal number, since it uses more digits than its factorization.

920125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 920125440 is about 30333.5695228900. The cubic root of 920125440 is about 972.6330276674.

Adding to 920125440 its reverse (44521029), we get a palindrome (964646469).

The spelling of 920125440 in words is "nine hundred twenty million, one hundred twenty-five thousand, four hundred forty".