1385472000 has 448 divisors, whose sum is σ = 5152387968. Its totient is φ = 327680000.

The previous prime is 1385471981. The next prime is 1385472019. The reversal of 1385472000 is 2745831.

It is an interprime number because it is at equal distance from previous prime (1385471981) and next prime (1385472019).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33791980 + ... + 33792020.

It is an arithmetic number, because the mean of its divisors is an integer number (11500866).

Almost surely, 2^1385472000 is an apocalyptic number.

1385472000 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 1385472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576193984).

1385472000 is an abundant number, since it is smaller than the sum of its proper divisors (3766915968).

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

1385472000 is an equidigital number, since it uses as much as digits as its factorization.

1385472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1385472000 is about 37221.9290204041. The cubic root of 1385472000 is about 1114.8058809307.

The spelling of 1385472000 in words is "one billion, three hundred eighty-five million, four hundred seventy-two thousand".