7469952 has 96 divisors (see below), whose sum is σ = 23139720. Its totient is φ = 2128896.

The previous prime is 7469951. The next prime is 7469993. The reversal of 7469952 is 2599647.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 7⁸ + 4⁶ + 6⁸ + 9⁴ + 9⁴ + 5³ + 2¹³ .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7469951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18618 + ... + 19014.

Almost surely, 2^7469952 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 7469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11569860).

7469952 is an abundant number, since it is smaller than the sum of its proper divisors (15669768).

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

7469952 is a wasteful number, since it uses less digits than its factorization.

7469952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 7469952 is about 2733.1212925884. The cubic root of 7469952 is about 195.4816234147.

The spelling of 7469952 in words is "seven million, four hundred sixty-nine thousand, nine hundred fifty-two".