49285454400 has 1512 divisors, whose sum is σ = 228717652800. Its totient is φ = 10346434560.

The previous prime is 49285454363. The next prime is 49285454401. The reversal of 49285454400 is 445458294.

It is a happy number.

49285454400 is a `hidden beast` number, since 4 + 92 + 85 + 45 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 (49285454401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 247665501 + ... + 247665699.

Almost surely, 2^49285454400 is an apocalyptic number.

49285454400 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 49285454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114358826400).

49285454400 is an abundant number, since it is smaller than the sum of its proper divisors (179432198400).

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

49285454400 is a wasteful number, since it uses less digits than its factorization.

49285454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 49285454400 in words is "forty-nine billion, two hundred eighty-five million, four hundred fifty-four thousand, four hundred".