354987360 has 720 divisors, whose sum is σ = 1605952656. Its totient is φ = 73156608.

The previous prime is 354987341. The next prime is 354987371. The reversal of 354987360 is 63789453.

354987360 is a `hidden beast` number, since 35 + 498 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8255499 + ... + 8255541.

Almost surely, 2^354987360 is an apocalyptic number.

354987360 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 354987360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802976328).

354987360 is an abundant number, since it is smaller than the sum of its proper divisors (1250965296).

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

354987360 is a wasteful number, since it uses less digits than its factorization.

354987360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 354987360 is about 18841.1082476589. The cubic root of 354987360 is about 708.0614712499.

It can be divided in two parts, 3549 and 87360, that added together give a palindrome (90909).

The spelling of 354987360 in words is "three hundred fifty-four million, nine hundred eighty-seven thousand, three hundred sixty".