541990400 has 240 divisors, whose sum is σ = 1607468544. Its totient is φ = 177070080.

The previous prime is 541990381. The next prime is 541990411. The reversal of 541990400 is 4099145.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2060669 + ... + 2060931.

Almost surely, 2^541990400 is an apocalyptic number.

541990400 is a gapful number since it is divisible by the number (50) 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 541990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803734272).

541990400 is an abundant number, since it is smaller than the sum of its proper divisors (1065478144).

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

541990400 is a wasteful number, since it uses less digits than its factorization.

541990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 541990400 is about 23280.6872750785. The cubic root of 541990400 is about 815.3245724424.

The spelling of 541990400 in words is "five hundred forty-one million, nine hundred ninety thousand, four hundred".