4152268400 has 120 divisors (see below), whose sum is σ = 11435961504. Its totient is φ = 1419264000.

The previous prime is 4152268387. The next prime is 4152268423. The reversal of 4152268400 is 48622514.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 986300 + ... + 990500.

Almost surely, 2^4152268400 is an apocalyptic number.

4152268400 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 4152268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5717980752).

4152268400 is an abundant number, since it is smaller than the sum of its proper divisors (7283693104).

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

4152268400 is a wasteful number, since it uses less digits than its factorization.

4152268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 4152268400 is about 64438.0974269104. The cubic root of 4152268400 is about 1607.2933187575.

The spelling of 4152268400 in words is "four billion, one hundred fifty-two million, two hundred sixty-eight thousand, four hundred".