46649100 has 72 divisors (see below), whose sum is σ = 136116288. Its totient is φ = 12334400.

The previous prime is 46649087. The next prime is 46649101. The reversal of 46649100 is 194664.

It is a super-2 number, since 2×46649100² = 4352277061620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (46649101) 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, 38707 + ... + 39893.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^46649100 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 46649100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68058144).

46649100 is an abundant number, since it is smaller than the sum of its proper divisors (89467188).

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

46649100 is a wasteful number, since it uses less digits than its factorization.

46649100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 46649100 is about 6830.0146412727. The cubic root of 46649100 is about 359.9822522115.

The spelling of 46649100 in words is "forty-six million, six hundred forty-nine thousand, one hundred".