474489241200 has 480 divisors, whose sum is σ = 1822709172480. Its totient is φ = 116542540800.

The previous prime is 474489241153. The next prime is 474489241201. The reversal of 474489241200 is 2142984474.

474489241200 is a `hidden beast` number, since 47 + 4 + 489 + 2 + 4 + 120 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474489241201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68932959 + ... + 68939841.

It is an arithmetic number, because the mean of its divisors is an integer number (3797310776).

Almost surely, 2^474489241200 is an apocalyptic number.

474489241200 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 474489241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911354586240).

474489241200 is an abundant number, since it is smaller than the sum of its proper divisors (1348219931280).

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

474489241200 is a wasteful number, since it uses less digits than its factorization.

474489241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7414 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 474489241200 in words is "four hundred seventy-four billion, four hundred eighty-nine million, two hundred forty-one thousand, two hundred".