1477672560 has 480 divisors, whose sum is σ = 6434588160. Its totient is φ = 295114752.

The previous prime is 1477672529. The next prime is 1477672571. The reversal of 1477672560 is 652767741.

1477672560 is a `hidden beast` number, since 14 + 7 + 7 + 6 + 72 + 560 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244287 + ... + 1245473.

It is an arithmetic number, because the mean of its divisors is an integer number (13405392).

Almost surely, 2^1477672560 is an apocalyptic number.

1477672560 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 1477672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217294080).

1477672560 is an abundant number, since it is smaller than the sum of its proper divisors (4956915600).

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

1477672560 is a wasteful number, since it uses less digits than its factorization.

1477672560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 1477672560 is about 38440.5067604474. The cubic root of 1477672560 is about 1139.0061513613.

The spelling of 1477672560 in words is "one billion, four hundred seventy-seven million, six hundred seventy-two thousand, five hundred sixty".