46009600 has 216 divisors, whose sum is σ = 141935360. Its totient is φ = 14376960.

The previous prime is 46009589. The next prime is 46009603. The reversal of 46009600 is 690064.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46009603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582361 + ... + 582439.

Almost surely, 2^46009600 is an apocalyptic number.

46009600 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 46009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70967680).

46009600 is an abundant number, since it is smaller than the sum of its proper divisors (95925760).

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

46009600 is a wasteful number, since it uses less digits than its factorization.

46009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 46009600 is about 6783.0376675941. The cubic root of 46009600 is about 358.3297109183.

Adding to 46009600 its reverse (690064), we get a palindrome (46699664).

The spelling of 46009600 in words is "forty-six million, nine thousand, six hundred".