9029925408 has 288 divisors, whose sum is σ = 29454243840. Its totient is φ = 2408071680.

The previous prime is 9029925407. The next prime is 9029925439. The reversal of 9029925408 is 8045299209.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (9029925407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6344985 + ... + 6346407.

It is an arithmetic number, because the mean of its divisors is an integer number (102271680).

Almost surely, 2^9029925408 is an apocalyptic number.

9029925408 is a gapful number since it is divisible by the number (98) 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 9029925408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14727121920).

9029925408 is an abundant number, since it is smaller than the sum of its proper divisors (20424318432).

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

9029925408 is a wasteful number, since it uses less digits than its factorization.

9029925408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 9029925408 is about 95025.9196640580. The cubic root of 9029925408 is about 2082.3867301808.

The spelling of 9029925408 in words is "nine billion, twenty-nine million, nine hundred twenty-five thousand, four hundred eight".