4252920 has 128 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 944640.

The previous prime is 4252901. The next prime is 4252933. The reversal of 4252920 is 292524.

4252920 = T₃₁₃ + T₃₁₄ + ... + T₃₈₂.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51199 + ... + 51281.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^4252920 is an apocalyptic number.

4252920 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 4252920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

4252920 is an abundant number, since it is smaller than the sum of its proper divisors (10746120).

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

4252920 is a wasteful number, since it uses less digits than its factorization.

4252920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4252920 is about 2062.2608952313. The cubic root of 4252920 is about 162.0176783025.

The spelling of 4252920 in words is "four million, two hundred fifty-two thousand, nine hundred twenty".