46404288 has 168 divisors, whose sum is σ = 161190432. Its totient is φ = 12460032.

The previous prime is 46404283. The next prime is 46404301. The reversal of 46404288 is 88240464.

46404288 is a `hidden beast` number, since 4 + 640 + 4 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46404283) 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, 68206 + ... + 68882.

Almost surely, 2^46404288 is an apocalyptic number.

46404288 is a gapful number since it is divisible by the number (48) 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 46404288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80595216).

46404288 is an abundant number, since it is smaller than the sum of its proper divisors (114786144).

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

46404288 is a wasteful number, since it uses less digits than its factorization.

46404288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 46404288 is about 6812.0692891367. The cubic root of 46404288 is about 359.3514248227.

The spelling of 46404288 in words is "forty-six million, four hundred four thousand, two hundred eighty-eight".