1794480480 has 240 divisors, whose sum is σ = 6820816464. Its totient is φ = 441676800.

The previous prime is 1794480469. The next prime is 1794480481. The reversal of 1794480480 is 840844971.

1794480480 is a `hidden beast` number, since 1 + 7 + 94 + 4 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1794480481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163155 + ... + 173805.

Almost surely, 2^1794480480 is an apocalyptic number.

1794480480 is a gapful number since it is divisible by the number (10) 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 1794480480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410408232).

1794480480 is an abundant number, since it is smaller than the sum of its proper divisors (5026335984).

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

1794480480 is a wasteful number, since it uses less digits than its factorization.

1794480480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10691 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1794480480 is about 42361.3087616518. The cubic root of 1794480480 is about 1215.1957617812.

The spelling of 1794480480 in words is "one billion, seven hundred ninety-four million, four hundred eighty thousand, four hundred eighty".