47902838400 has 192 divisors, whose sum is σ = 175311398400. Its totient is φ = 12774067200.

The previous prime is 47902838393. The next prime is 47902838407. The reversal of 47902838400 is 483820974.

It is an interprime number because it is at equal distance from previous prime (47902838393) and next prime (47902838407).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (47902838407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190816 + ... + 363615.

It is an arithmetic number, because the mean of its divisors is an integer number (913080200).

Almost surely, 2^47902838400 is an apocalyptic number.

47902838400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47902838400 is an abundant number, since it is smaller than the sum of its proper divisors (127408560000).

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

47902838400 is a wasteful number, since it uses less digits than its factorization.

47902838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554464 (or 554441 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 47902838400 in words is "forty-seven billion, nine hundred two million, eight hundred thirty-eight thousand, four hundred".