920941400 has 192 divisors, whose sum is σ = 2387124000. Its totient is φ = 329011200.

The previous prime is 920941349. The next prime is 920941451. The reversal of 920941400 is 4149029.

It is an interprime number because it is at equal distance from previous prime (920941349) and next prime (920941451).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6722132 + ... + 6722268.

Almost surely, 2^920941400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920941400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193562000).

920941400 is an abundant number, since it is smaller than the sum of its proper divisors (1466182600).

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

920941400 is a wasteful number, since it uses less digits than its factorization.

920941400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 920941400 is about 30347.0163278040. The cubic root of 920941400 is about 972.9204504945.

The spelling of 920941400 in words is "nine hundred twenty million, nine hundred forty-one thousand, four hundred".