46001520 has 200 divisors, whose sum is σ = 165644160. Its totient is φ = 11819520.

The previous prime is 46001513. The next prime is 46001521. The reversal of 46001520 is 2510064.

It is a happy number.

It is a super-2 number, since 2×46001520² = 4232279684620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 46001493 and 46001502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46001521) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200766 + ... + 200994.

Almost surely, 2^46001520 is an apocalyptic number.

46001520 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 46001520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82822080).

46001520 is an abundant number, since it is smaller than the sum of its proper divisors (119642640).

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

46001520 is a wasteful number, since it uses less digits than its factorization.

46001520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 46001520 is about 6782.4420380863. The cubic root of 46001520 is about 358.3087336036.

Adding to 46001520 its reverse (2510064), we get a palindrome (48511584).

The spelling of 46001520 in words is "forty-six million, one thousand, five hundred twenty".