387429480 has 192 divisors, whose sum is σ = 1363340160. Its totient is φ = 98765568.

The previous prime is 387429467. The next prime is 387429563. The reversal of 387429480 is 84924783.

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 47 ways as a sum of consecutive naturals, for example, 222694 + ... + 224426.

It is an arithmetic number, because the mean of its divisors is an integer number (7100730).

Almost surely, 2^387429480 is an apocalyptic number.

387429480 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 387429480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681670080).

387429480 is an abundant number, since it is smaller than the sum of its proper divisors (975910680).

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

387429480 is a wasteful number, since it uses less digits than its factorization.

387429480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 387429480 is about 19683.2283937366. The cubic root of 387429480 is about 729.0056393406.

The spelling of 387429480 in words is "three hundred eighty-seven million, four hundred twenty-nine thousand, four hundred eighty".