470543774400 has 840 divisors, whose sum is σ = 1983923465216. Its totient is φ = 107159500800.

The previous prime is 470543774369. The next prime is 470543774431. The reversal of 470543774400 is 4477345074.

It is an interprime number because it is at equal distance from previous prime (470543774369) and next prime (470543774431).

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×470543774400² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 300282417 + ... + 300283983.

Almost surely, 2^470543774400 is an apocalyptic number.

470543774400 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 470543774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991961732608).

470543774400 is an abundant number, since it is smaller than the sum of its proper divisors (1513379690816).

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

470543774400 is a wasteful number, since it uses less digits than its factorization.

470543774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 45.

The spelling of 470543774400 in words is "four hundred seventy billion, five hundred forty-three million, seven hundred seventy-four thousand, four hundred".