4522478400 has 672 divisors, whose sum is σ = 18625474560. Its totient is φ = 1057536000.

The previous prime is 4522478381. The next prime is 4522478419. The reversal of 4522478400 is 48742254.

4522478400 is a `hidden beast` number, since 4 + 5 + 2 + 247 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (4522478381) and next prime (4522478419).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14731047 + ... + 14731353.

It is an arithmetic number, because the mean of its divisors is an integer number (27716480).

Almost surely, 2^4522478400 is an apocalyptic number.

4522478400 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 4522478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9312737280).

4522478400 is an abundant number, since it is smaller than the sum of its proper divisors (14102996160).

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

4522478400 is a wasteful number, since it uses less digits than its factorization.

4522478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 4522478400 is about 67249.3747182827. The cubic root of 4522478400 is about 1653.7080243972.

The spelling of 4522478400 in words is "four billion, five hundred twenty-two million, four hundred seventy-eight thousand, four hundred".