354978000 has 480 divisors, whose sum is σ = 1404722592. Its totient is φ = 82944000.

The previous prime is 354977989. The next prime is 354978017. The reversal of 354978000 is 879453.

It can be written as a sum of positive squares in 16 ways, for example, as 319265424 + 35712576 = 17868^2 + 5976^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8657980 + ... + 8658020.

Almost surely, 2^354978000 is an apocalyptic number.

354978000 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 354978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702361296).

354978000 is an abundant number, since it is smaller than the sum of its proper divisors (1049744592).

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

354978000 is a wasteful number, since it uses less digits than its factorization.

354978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 354978000 is about 18840.8598529897. The cubic root of 354978000 is about 708.0552480108.

The spelling of 354978000 in words is "three hundred fifty-four million, nine hundred seventy-eight thousand".