4953062400 has 792 divisors, whose sum is σ = 19850364912. Its totient is φ = 1081344000.

The previous prime is 4953062399. The next prime is 4953062407. The reversal of 4953062400 is 42603594.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4953062407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120806380 + ... + 120806420.

Almost surely, 2^4953062400 is an apocalyptic number.

4953062400 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 4953062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9925182456).

4953062400 is an abundant number, since it is smaller than the sum of its proper divisors (14897302512).

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

4953062400 is a wasteful number, since it uses less digits than its factorization.

4953062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 4953062400 is about 70377.9965614254. The cubic root of 4953062400 is about 1704.6083040551.

Adding to 4953062400 its reverse (42603594), we get a palindrome (4995665994).

The spelling of 4953062400 in words is "four billion, nine hundred fifty-three million, sixty-two thousand, four hundred".