7401952 has 48 divisors (see below), whose sum is σ = 15513120. Its totient is φ = 3469312.

The previous prime is 7401949. The next prime is 7401971. The reversal of 7401952 is 2591047.

It is a happy number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 7401952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65448 + ... + 65560.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 2^7401952 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 7401952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756560).

7401952 is an abundant number, since it is smaller than the sum of its proper divisors (8111168).

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

7401952 is a wasteful number, since it uses less digits than its factorization.

7401952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 7401952 is about 2720.6528628254. The cubic root of 7401952 is about 194.8866490038.

Adding to 7401952 its reverse (2591047), we get a palindrome (9992999).

The spelling of 7401952 in words is "seven million, four hundred one thousand, nine hundred fifty-two".