4132920 has 128 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 960000.

The previous prime is 4132913. The next prime is 4132927. The reversal of 4132920 is 292314.

It is an interprime number because it is at equal distance from previous prime (4132913) and next prime (4132927).

It is a super-3 number, since 3×4132920³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40870 + ... + 40970.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

Almost surely, 2^4132920 is an apocalyptic number.

4132920 is a gapful number since it is divisible by the number (40) 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 4132920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

4132920 is an abundant number, since it is smaller than the sum of its proper divisors (9967560).

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

4132920 is a wasteful number, since it uses less digits than its factorization.

4132920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 4132920 is about 2032.9584353843. The cubic root of 4132920 is about 160.4792919780.

Subtracting from 4132920 its reverse (292314), we obtain a triangular number (3840606 = T₂₇₇₁).

It can be divided in two parts, 413 and 2920, that added together give a palindrome (3333).

The spelling of 4132920 in words is "four million, one hundred thirty-two thousand, nine hundred twenty".