9054374400 has 720 divisors, whose sum is σ = 34907640768. Its totient is φ = 2322432000.

The previous prime is 9054374393. The next prime is 9054374443. The reversal of 9054374400 is 44734509.

9054374400 is a `hidden beast` number, since 9 + 0 + 543 + 74 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127526365 + ... + 127526435.

Almost surely, 2^9054374400 is an apocalyptic number.

9054374400 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 9054374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17453820384).

9054374400 is an abundant number, since it is smaller than the sum of its proper divisors (25853266368).

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

9054374400 is an equidigital number, since it uses as much as digits as its factorization.

9054374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 9054374400 is about 95154.4765105668. The cubic root of 9054374400 is about 2084.2644266182.

The spelling of 9054374400 in words is "nine billion, fifty-four million, three hundred seventy-four thousand, four hundred".