1463978880 has 1024 divisors, whose sum is σ = 6854400000. Its totient is φ = 292626432.

The previous prime is 1463978869. The next prime is 1463978933. The reversal of 1463978880 is 888793641.

It is a super-2 number, since 2×1463978880² = 4286468322172108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77051511 + ... + 77051529.

It is an arithmetic number, because the mean of its divisors is an integer number (6693750).

Almost surely, 2^1463978880 is an apocalyptic number.

1463978880 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 1463978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200000).

1463978880 is an abundant number, since it is smaller than the sum of its proper divisors (5390421120).

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

1463978880 is a wasteful number, since it uses less digits than its factorization.

1463978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1463978880 is about 38261.9769484014. The cubic root of 1463978880 is about 1135.4768139002.

The spelling of 1463978880 in words is "one billion, four hundred sixty-three million, nine hundred seventy-eight thousand, eight hundred eighty".