403152 has 40 divisors (see below), whose sum is σ = 1074336. Its totient is φ = 130176.

The previous prime is 403141. The next prime is 403159. The reversal of 403152 is 251304.

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403159) 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, 1663 + ... + 1889.

2⁴⁰³¹⁵² 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 403152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537168).

403152 is an abundant number, since it is smaller than the sum of its proper divisors (671184).

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

403152 is a wasteful number, since it uses less digits than its factorization.

403152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 403152 is about 634.9425170832. The cubic root of 403152 is about 73.8736582909.

Adding to 403152 its reverse (251304), we get a palindrome (654456).

It can be divided in two parts, 403 and 152, that added together give a palindrome (555).

The spelling of 403152 in words is "four hundred three thousand, one hundred fifty-two".