9201254400 has 504 divisors, whose sum is σ = 36406541360. Its totient is φ = 2264924160.

The previous prime is 9201254389. The next prime is 9201254407. The reversal of 9201254400 is 44521029.

9201254400 is a `hidden beast` number, since 9 + 2 + 0 + 1 + 254 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9201254407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707788794 + ... + 707788806.

Almost surely, 2^9201254400 is an apocalyptic number.

9201254400 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 9201254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203270680).

9201254400 is an abundant number, since it is smaller than the sum of its proper divisors (27205286960).

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

9201254400 is an frugal number, since it uses more digits than its factorization.

9201254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

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

The square root of 9201254400 is about 95923.1692553994. The cubic root of 9201254400 is about 2095.4743354773.

Adding to 9201254400 its reverse (44521029), we get a palindrome (9245775429).

It can be divided in two parts, 920 and 1254400, that added together give a triangular number (1255320 = T₁₅₈₄).

The spelling of 9201254400 in words is "nine billion, two hundred one million, two hundred fifty-four thousand, four hundred".