370240416 has 384 divisors, whose sum is σ = 1412328960. Its totient is φ = 91570176.

The previous prime is 370240411. The next prime is 370240417. The reversal of 370240416 is 614042073.

370240416 is a `hidden beast` number, since 3 + 7 + 0 + 240 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 370240416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (370240411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1336470 + ... + 1336746.

It is an arithmetic number, because the mean of its divisors is an integer number (3677940).

Almost surely, 2^370240416 is an apocalyptic number.

370240416 is a gapful number since it is divisible by the number (36) 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 370240416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706164480).

370240416 is an abundant number, since it is smaller than the sum of its proper divisors (1042088544).

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

370240416 is a wasteful number, since it uses less digits than its factorization.

370240416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 370240416 is about 19241.6323631858. The cubic root of 370240416 is about 718.0608933905.

Adding to 370240416 its reverse (614042073), we get a palindrome (984282489).

The spelling of 370240416 in words is "three hundred seventy million, two hundred forty thousand, four hundred sixteen".