4220152400 has 60 divisors (see below), whose sum is σ = 10161260352. Its totient is φ = 1684341120.

The previous prime is 4220152393. The next prime is 4220152421. The reversal of 4220152400 is 42510224.

It is a happy number.

4220152400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173807 + ... + 196593.

Almost surely, 2^4220152400 is an apocalyptic number.

4220152400 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 4220152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080630176).

4220152400 is an abundant number, since it is smaller than the sum of its proper divisors (5941107952).

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

4220152400 is a wasteful number, since it uses less digits than its factorization.

4220152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23268 (or 23257 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4220152400 is about 64962.7000670385. The cubic root of 4220152400 is about 1616.0050423821.

Adding to 4220152400 its reverse (42510224), we get a palindrome (4262662624).

The spelling of 4220152400 in words is "four billion, two hundred twenty million, one hundred fifty-two thousand, four hundred".