4023254400 has 384 divisors, whose sum is σ = 14934758400. Its totient is φ = 943104000.

The previous prime is 4023254393. The next prime is 4023254423. The reversal of 4023254400 is 44523204.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3272986 + ... + 3274214.

It is an arithmetic number, because the mean of its divisors is an integer number (38892600).

Almost surely, 2^4023254400 is an apocalyptic number.

4023254400 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 4023254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467379200).

4023254400 is an abundant number, since it is smaller than the sum of its proper divisors (10911504000).

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

4023254400 is a wasteful number, since it uses less digits than its factorization.

4023254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4023254400 is about 63429.1289550787. The cubic root of 4023254400 is about 1590.4712815221.

Adding to 4023254400 its reverse (44523204), we get a palindrome (4067777604).

The spelling of 4023254400 in words is "four billion, twenty-three million, two hundred fifty-four thousand, four hundred".