473048294400 has 1584 divisors, whose sum is σ = 1986827501568. Its totient is φ = 110481408000.

The previous prime is 473048294371. The next prime is 473048294423. The reversal of 473048294400 is 4492840374.

473048294400 is a `hidden beast` number, since 47 + 3 + 0 + 482 + 94 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2121292689 + ... + 2121292911.

Almost surely, 2^473048294400 is an apocalyptic number.

473048294400 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 473048294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993413750784).

473048294400 is an abundant number, since it is smaller than the sum of its proper divisors (1513779207168).

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

473048294400 is a wasteful number, since it uses less digits than its factorization.

473048294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 473048294400 in words is "four hundred seventy-three billion, forty-eight million, two hundred ninety-four thousand, four hundred".