46461288 has 64 divisors (see below), whose sum is σ = 122970240. Its totient is φ = 14598144.

The previous prime is 46461287. The next prime is 46461301. The reversal of 46461288 is 88216464.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46461287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39720 + ... + 40872.

It is an arithmetic number, because the mean of its divisors is an integer number (1921410).

Almost surely, 2^46461288 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 46461288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61485120).

46461288 is an abundant number, since it is smaller than the sum of its proper divisors (76508952).

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

46461288 is a wasteful number, since it uses less digits than its factorization.

46461288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1254 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 46461288 is about 6816.2517559139. The cubic root of 46461288 is about 359.4984992358.

The spelling of 46461288 in words is "forty-six million, four hundred sixty-one thousand, two hundred eighty-eight".