4923452400 has 120 divisors (see below), whose sum is σ = 15993869184. Its totient is φ = 1294406400.

The previous prime is 4923452371. The next prime is 4923452407. The reversal of 4923452400 is 42543294.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4923452407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56307 + ... + 114093.

Almost surely, 2^4923452400 is an apocalyptic number.

4923452400 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 4923452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7996934592).

4923452400 is an abundant number, since it is smaller than the sum of its proper divisors (11070416784).

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

4923452400 is a wasteful number, since it uses less digits than its factorization.

4923452400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57879 (or 57868 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4923452400 is about 70167.3171782989. The cubic root of 4923452400 is about 1701.2047285191.

Adding to 4923452400 its reverse (42543294), we get a palindrome (4965995694).

The spelling of 4923452400 in words is "four billion, nine hundred twenty-three million, four hundred fifty-two thousand, four hundred".