7435904 has 64 divisors (see below), whose sum is σ = 17413440. Its totient is φ = 3096576.

The previous prime is 7435903. The next prime is 7435907. The reversal of 7435904 is 4095347.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7435903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38432 + ... + 38624.

It is an arithmetic number, because the mean of its divisors is an integer number (272085).

Almost surely, 2^7435904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8706720).

7435904 is an abundant number, since it is smaller than the sum of its proper divisors (9977536).

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

7435904 is a wasteful number, since it uses less digits than its factorization.

7435904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 7435904 is about 2726.8854027993. The cubic root of 7435904 is about 195.1841696380.

The spelling of 7435904 in words is "seven million, four hundred thirty-five thousand, nine hundred four".