1477404768 has 192 divisors, whose sum is σ = 4685506560. Its totient is φ = 398641152.

The previous prime is 1477404767. The next prime is 1477404787. The reversal of 1477404768 is 8674047741.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1477404767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915130 + ... + 916742.

It is an arithmetic number, because the mean of its divisors is an integer number (24403680).

Almost surely, 2^1477404768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1477404768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342753280).

1477404768 is an abundant number, since it is smaller than the sum of its proper divisors (3208101792).

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

1477404768 is a wasteful number, since it uses less digits than its factorization.

1477404768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 48.

The square root of 1477404768 is about 38437.0234019233. The cubic root of 1477404768 is about 1138.9373415381.

The spelling of 1477404768 in words is "one billion, four hundred seventy-seven million, four hundred four thousand, seven hundred sixty-eight".