388077480 has 320 divisors, whose sum is σ = 1517978880. Its totient is φ = 87091200.

The previous prime is 388077463. The next prime is 388077491. The reversal of 388077480 is 84770883.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1610160 + ... + 1610400.

It is an arithmetic number, because the mean of its divisors is an integer number (4743684).

Almost surely, 2^388077480 is an apocalyptic number.

388077480 is a gapful number since it is divisible by the number (30) 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 388077480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758989440).

388077480 is an abundant number, since it is smaller than the sum of its proper divisors (1129901400).

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

388077480 is a wasteful number, since it uses less digits than its factorization.

388077480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 388077480 is about 19699.6822309397. The cubic root of 388077480 is about 729.4118487737.

The spelling of 388077480 in words is "three hundred eighty-eight million, seventy-seven thousand, four hundred eighty".