4052772504 has 384 divisors, whose sum is σ = 13444704000. Its totient is φ = 1088640000.

The previous prime is 4052772461. The next prime is 4052772527.

It is a happy number.

4052772504 is nontrivially palindromic in base 10.

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, 16146379 + ... + 16146629.

It is an arithmetic number, because the mean of its divisors is an integer number (35012250).

Almost surely, 2^4052772504 is an apocalyptic number.

4052772504 is a gapful number since it is divisible by the number (44) 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 4052772504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352000).

4052772504 is an abundant number, since it is smaller than the sum of its proper divisors (9391931496).

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

4052772504 is a wasteful number, since it uses less digits than its factorization.

4052772504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 4052772504 is about 63661.3894287582. The cubic root of 4052772504 is about 1594.3515023037.

The spelling of 4052772504 in words is "four billion, fifty-two million, seven hundred seventy-two thousand, five hundred four".