1485477456 has 120 divisors (see below), whose sum is σ = 4121566560. Its totient is φ = 460829952.

The previous prime is 1485477451. The next prime is 1485477457. The reversal of 1485477456 is 6547745841.

Its product of digits (3763200) is a multiple of the sum of its prime divisors (1536).

It is a junction number, because it is equal to n+sod(n) for n = 1485477399 and 1485477408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1485477451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021626 + ... + 1023078.

It is an arithmetic number, because the mean of its divisors is an integer number (34346388).

Almost surely, 2^1485477456 is an apocalyptic number.

1485477456 is a gapful number since it is divisible by the number (16) 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 1485477456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060783280).

1485477456 is an abundant number, since it is smaller than the sum of its proper divisors (2636089104).

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

1485477456 is a wasteful number, since it uses less digits than its factorization.

1485477456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1536 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 51.

The square root of 1485477456 is about 38541.8922213220. The cubic root of 1485477456 is about 1141.0079973467.

The spelling of 1485477456 in words is "one billion, four hundred eighty-five million, four hundred seventy-seven thousand, four hundred fifty-six".