49474202400 has 1296 divisors, whose sum is σ = 219750325704. Its totient is φ = 10404495360.

The previous prime is 49474202387. The next prime is 49474202413. The reversal of 49474202400 is 420247494.

49474202400 is a `hidden beast` number, since 4 + 9 + 47 + 4 + 202 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (49474202387) and next prime (49474202413).

It can be written as a sum of positive squares in 12 ways, for example, as 557148816 + 48917053584 = 23604^2 + 221172^2 .

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

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, 437824744 + ... + 437824856.

Almost surely, 2^49474202400 is an apocalyptic number.

49474202400 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 49474202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109875162852).

49474202400 is an abundant number, since it is smaller than the sum of its proper divisors (170276123304).

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

49474202400 is a wasteful number, since it uses less digits than its factorization.

49474202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 49474202400 its reverse (420247494), we get a palindrome (49894449894).

The spelling of 49474202400 in words is "forty-nine billion, four hundred seventy-four million, two hundred two thousand, four hundred".