385657440 has 288 divisors, whose sum is σ = 1489259520. Its totient is φ = 83414016.

The previous prime is 385657429. The next prime is 385657451. The reversal of 385657440 is 44756583.

It is an interprime number because it is at equal distance from previous prime (385657429) and next prime (385657451).

It is a super-2 number, since 2×385657440² = 297463322054707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 385657392 and 385657401.

It is a congruent number.

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, 446449 + ... + 447311.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2^385657440 is an apocalyptic number.

385657440 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 385657440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744629760).

385657440 is an abundant number, since it is smaller than the sum of its proper divisors (1103602080).

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

385657440 is a wasteful number, since it uses less digits than its factorization.

385657440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 385657440 is about 19638.1628468653. The cubic root of 385657440 is about 727.8924890545.

The spelling of 385657440 in words is "three hundred eighty-five million, six hundred fifty-seven thousand, four hundred forty".