4260000624 has 320 divisors, whose sum is σ = 13288292352. Its totient is φ = 1161216000.

The previous prime is 4260000601. The next prime is 4260000631.

4260000624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4260000594 and 4260000603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33543249 + ... + 33543375.

Almost surely, 2^4260000624 is an apocalyptic number.

4260000624 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 4260000624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6644146176).

4260000624 is an abundant number, since it is smaller than the sum of its proper divisors (9028291728).

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

4260000624 is a wasteful number, since it uses less digits than its factorization.

4260000624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4260000624 is about 65268.6802685637. The cubic root of 4260000624 is about 1621.0754206704.

It can be divided in two parts, 4260000 and 624, that added together give a palindrome (4260624).

The spelling of 4260000624 in words is "four billion, two hundred sixty million, six hundred twenty-four", and thus it is an aban number.