4628414952 has 384 divisors, whose sum is σ = 15719961600. Its totient is φ = 1256726016.

The previous prime is 4628414939. The next prime is 4628414957. The reversal of 4628414952 is 2594148264.

It is a happy number.

4628414952 is a `hidden beast` number, since 4 + 628 + 4 + 14 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4628414898 and 4628414907.

It is not an unprimeable number, because it can be changed into a prime (4628414957) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20755113 + ... + 20755335.

It is an arithmetic number, because the mean of its divisors is an integer number (40937400).

Almost surely, 2^4628414952 is an apocalyptic number.

4628414952 is a gapful number since it is divisible by the number (42) 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 4628414952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859980800).

4628414952 is an abundant number, since it is smaller than the sum of its proper divisors (11091546648).

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

4628414952 is a wasteful number, since it uses less digits than its factorization.

4628414952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 325 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 4628414952 is about 68032.4551372358. The cubic root of 4628414952 is about 1666.5208926014.

The spelling of 4628414952 in words is "four billion, six hundred twenty-eight million, four hundred fourteen thousand, nine hundred fifty-two".