46525920 has 192 divisors, whose sum is σ = 170989056. Its totient is φ = 10414080.

The previous prime is 46525873. The next prime is 46525933. The reversal of 46525920 is 2952564.

It is a super-2 number, since 2×46525920² = 4329322463692800, which contains 22 as substring.

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, 204847 + ... + 205073.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 2^46525920 is an apocalyptic number.

46525920 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 46525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85494528).

46525920 is an abundant number, since it is smaller than the sum of its proper divisors (124463136).

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

46525920 is a wasteful number, since it uses less digits than its factorization.

46525920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 46525920 is about 6820.9911303270. The cubic root of 46525920 is about 359.6651206838.

The spelling of 46525920 in words is "forty-six million, five hundred twenty-five thousand, nine hundred twenty".