4705254400 has 594 divisors, whose sum is σ = 15394160544. Its totient is φ = 1419264000.

The previous prime is 4705254383. The next prime is 4705254413. The reversal of 4705254400 is 44525074.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 151782385 + ... + 151782415.

Almost surely, 2^4705254400 is an apocalyptic number.

4705254400 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 4705254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697080272).

4705254400 is an abundant number, since it is smaller than the sum of its proper divisors (10688906144).

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

4705254400 is a wasteful number, since it uses less digits than its factorization.

4705254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 31.

The square root of 4705254400 is about 68594.8569500659. The cubic root of 4705254400 is about 1675.6926696329.

Multiplying 4705254400 by its sum of digits (31), we get a square (145862886400 = 381920²).

4705254400 divided by its sum of digits (31) gives a square (151782400 = 12320²).

Adding to 4705254400 its reverse (44525074), we get a palindrome (4749779474).

The spelling of 4705254400 in words is "four billion, seven hundred five million, two hundred fifty-four thousand, four hundred".