46081600 has 84 divisors (see below), whose sum is σ = 115086384. Its totient is φ = 18158080.

The previous prime is 46081591. The next prime is 46081639. The reversal of 46081600 is 618064.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132627 + ... + 132973.

It is an arithmetic number, because the mean of its divisors is an integer number (1370076).

Almost surely, 2^46081600 is an apocalyptic number.

46081600 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 46081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57543192).

46081600 is an abundant number, since it is smaller than the sum of its proper divisors (69004784).

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

46081600 is a wasteful number, since it uses less digits than its factorization.

46081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 46081600 is about 6788.3429494981. The cubic root of 46081600 is about 358.5165291254.

Adding to 46081600 its reverse (618064), we get a palindrome (46699664).

The spelling of 46081600 in words is "forty-six million, eighty-one thousand, six hundred".