4253474400 has 288 divisors, whose sum is σ = 16148966400. Its totient is φ = 972034560.

The previous prime is 4253474389. The next prime is 4253474411. The reversal of 4253474400 is 44743524.

It is an interprime number because it is at equal distance from previous prime (4253474389) and next prime (4253474411).

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, 820617 + ... + 825783.

It is an arithmetic number, because the mean of its divisors is an integer number (56072800).

Almost surely, 2^4253474400 is an apocalyptic number.

4253474400 is a gapful number since it is divisible by the number (40) 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 4253474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8074483200).

4253474400 is an abundant number, since it is smaller than the sum of its proper divisors (11895492000).

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

4253474400 is a wasteful number, since it uses less digits than its factorization.

4253474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5211 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 33.

The square root of 4253474400 is about 65218.6660397160. Note that the first 3 decimals coincide. The cubic root of 4253474400 is about 1620.2471806949.

The spelling of 4253474400 in words is "four billion, two hundred fifty-three million, four hundred seventy-four thousand, four hundred".