46742100 has 72 divisors (see below), whose sum is σ = 138928608. Its totient is φ = 12124800.

The previous prime is 46742089. The next prime is 46742107. The reversal of 46742100 is 124764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46742107) 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, 8995 + ... + 13205.

It is an arithmetic number, because the mean of its divisors is an integer number (1929564).

Almost surely, 2^46742100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69464304).

46742100 is an abundant number, since it is smaller than the sum of its proper divisors (92186508).

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

46742100 is a wasteful number, since it uses less digits than its factorization.

46742100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 46742100 is about 6836.8194359658. The cubic root of 46742100 is about 360.2213145335.

Adding to 46742100 its reverse (124764), we get a palindrome (46866864).

The spelling of 46742100 in words is "forty-six million, seven hundred forty-two thousand, one hundred".