46897920 has 288 divisors, whose sum is σ = 176601600. Its totient is φ = 11759616.

The previous prime is 46897919. The next prime is 46897969. The reversal of 46897920 is 2979864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794851 + ... + 794909.

It is an arithmetic number, because the mean of its divisors is an integer number (613200).

Almost surely, 2^46897920 is an apocalyptic number.

46897920 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 46897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

46897920 is an abundant number, since it is smaller than the sum of its proper divisors (129703680).

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

46897920 is a wasteful number, since it uses less digits than its factorization.

46897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 46897920 is about 6848.2056043901. The cubic root of 46897920 is about 360.6211498637.

The spelling of 46897920 in words is "forty-six million, eight hundred ninety-seven thousand, nine hundred twenty".