49276281600 has 1944 divisors, whose sum is σ = 236641728960. Its totient is φ = 9661317120.

The previous prime is 49276281599. The next prime is 49276281643. The reversal of 49276281600 is 618267294.

It is a happy number.

49276281600 is a `hidden beast` number, since 4 + 9 + 2 + 7 + 628 + 16 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 623750361 + ... + 623750439.

Almost surely, 2^49276281600 is an apocalyptic number.

49276281600 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 49276281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118320864480).

49276281600 is an abundant number, since it is smaller than the sum of its proper divisors (187365447360).

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

49276281600 is a wasteful number, since it uses less digits than its factorization.

49276281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 49276281600 in words is "forty-nine billion, two hundred seventy-six million, two hundred eighty-one thousand, six hundred".