920102400 has 540 divisors, whose sum is σ = 3853890612. Its totient is φ = 209018880.

The previous prime is 920102389. The next prime is 920102429. The reversal of 920102400 is 4201029.

920102400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5644719 + ... + 5644881.

Almost surely, 2^920102400 is an apocalyptic number.

920102400 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 920102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926945306).

920102400 is an abundant number, since it is smaller than the sum of its proper divisors (2933788212).

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

920102400 is a wasteful number, since it uses less digits than its factorization.

920102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 920102400 is about 30333.1897432499. The cubic root of 920102400 is about 972.6249093352.

Adding to 920102400 its reverse (4201029), we get a palindrome (924303429).

The spelling of 920102400 in words is "nine hundred twenty million, one hundred two thousand, four hundred".