47364240 has 240 divisors, whose sum is σ = 185238144. Its totient is φ = 9799680.

The previous prime is 47364223. The next prime is 47364259. The reversal of 47364240 is 4246374.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 47364198 and 47364207.

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 47 ways as a sum of consecutive naturals, for example, 203164 + ... + 203396.

Almost surely, 2^47364240 is an apocalyptic number.

47364240 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 47364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).

47364240 is an abundant number, since it is smaller than the sum of its proper divisors (137873904).

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

47364240 is a wasteful number, since it uses less digits than its factorization.

47364240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 47364240 is about 6882.1682629822. The cubic root of 47364240 is about 361.8124645475.

The spelling of 47364240 in words is "forty-seven million, three hundred sixty-four thousand, two hundred forty".