4225829400 has 384 divisors, whose sum is σ = 16602062400. Its totient is φ = 978739200.

The previous prime is 4225829389. The next prime is 4225829423. The reversal of 4225829400 is 49285224.

4225829400 is a `hidden beast` number, since 4 + 225 + 8 + 29 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1191630 + ... + 1195170.

Almost surely, 2^4225829400 is an apocalyptic number.

4225829400 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 4225829400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8301031200).

4225829400 is an abundant number, since it is smaller than the sum of its proper divisors (12376233000).

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

4225829400 is a wasteful number, since it uses less digits than its factorization.

4225829400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4225829400 is about 65006.3796869200. The cubic root of 4225829400 is about 1616.7293408704.

The spelling of 4225829400 in words is "four billion, two hundred twenty-five million, eight hundred twenty-nine thousand, four hundred".