477090028800 has 1944 divisors, whose sum is σ = 2199641213952. Its totient is φ = 98354995200.

The previous prime is 477090028733. The next prime is 477090028801. The reversal of 477090028800 is 8820090774.

It is a super-2 number, since 2×477090028800² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477090028801) 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, 3756614337 + ... + 3756614463.

Almost surely, 2^477090028800 is an apocalyptic number.

477090028800 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 477090028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099820606976).

477090028800 is an abundant number, since it is smaller than the sum of its proper divisors (1722551185152).

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

477090028800 is a wasteful number, since it uses less digits than its factorization.

477090028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 477090028800 in words is "four hundred seventy-seven billion, ninety million, twenty-eight thousand, eight hundred".